A Randomized Phase II Study Comparing Single-Agent Olaparib, Single Agent Cediranib, and the Combinations of Cediranib/Olaparib, Olaparib/Durvalumab (MEDI4736), Cediranib/Durvalumab (MEDI4736), Olaparib/AZD5363 (Capivasertib) in Women With Recurrent, Persistent or Metastatic Endometrial Cancer.: A Platform Trial for Women With Recurrent or Persistent Endometrial Cancer

• Patients must have recurrent or persistent endometrial carcinoma, which is refractory to curative therapy or established treatments; histologic confirmation of the original primary tumor is required; patients with the following histologic epithelial cell types are eligible: endometrioid adenocarcinoma, serous adenocarcinoma, undifferentiated carcinoma, mixed epithelial carcinoma, adenocarcinoma not otherwise specified (N.O.S.); NOTE: clear cell histology is excluded

• Patients must have evaluable disease as defined by Response Evaluation Criteria in Solid Tumors (RECIST) 1.1 or non-measurable (detectable) disease

‣ Measurable disease is defined as at least one lesion that can be accurately measured in at least one dimension (longest diameter to be recorded); each lesion must be \>= 10 mm when measured by computed tomography (CT), magnetic resonance imaging (MRI) or caliper measurement by clinical exam; or \>= 20 mm when measured by chest x-ray; lymph nodes must be \> 15 mm in short axis when measured by CT or MRI; patients with measurable disease must have at least one target lesion to be used to assess response on this protocol as defined by RECIST version 1.1; tumors within a previously irradiated field will be designated as non-target lesions unless progression is documented or a biopsy is obtained to confirm persistence at least 90 days following completion of radiation therapy

⁃ Non-measurable (detectable) disease in a patient is defined in this protocol as one who does not have measurable disease but has at least one of the following conditions:

• Ascites and/or pleural effusion attributed to tumor;

∙ Solid and/or cystic abnormalities on radiographic imaging that do not meet RECIST 1.1 definitions for target lesions

• Patients must have signed an approved informed consent and authorization permitting release of personal health information

• Patients must have had one prior chemotherapeutic regimen for management of endometrial carcinoma; initial treatment may include chemotherapy, chemotherapy and radiation therapy, and/or consolidation/maintenance therapy; chemotherapy administered in conjunction with primary radiation as a radio-sensitizer WILL be counted as a systemic chemotherapy regimen

• Patients are allowed to receive, but are not required to receive, one additional cytotoxic regimen for management of recurrent or persistent disease according to the following definition: cytotoxic regimens include any agent that targets the genetic and/or mitotic apparatus of dividing cells, resulting in dose-limiting toxicity to the bone marrow and/or gastrointestinal mucosa; Note: patients on this non-cytotoxic study are allowed to receive one additional cytotoxic chemotherapy regimen for management of recurrent or persistent disease, as defined above; however, patients are encouraged to enroll on second-line non-cytotoxic studies prior to receiving additional cytotoxic therapy

• Patients may have received non cytotoxic therapy including immunotherapy (1 prior line in either upfront or recurrent setting) but excluding cediranib, olaparib, AZD5363 (capivasertib), durvalumab (MEDI4736), or the combination of lenvatinib and pembrolizumab for the management of recurrent or persistent disease; prior hormonal therapy is allowed; hormonal therapy for grade 1 endometrial cancers with low volume or indolent disease is encouraged

• Bevacizumab, or one course of single-agent immune-checkpoint therapy, excluding durvalumab (MEDI4736), is permitted prior to enrollment on this trial

• Body weight \> 30 kg

• Age \>= 18

• The trial is open to females only (including women with an intact uterus with uterine cancer); fertile females of childbearing potential need to agree to use adequate contraceptive measures from 2 weeks prior to the study and until 1 month after study treatment discontinuation, and have a negative serum or urine pregnancy test within 3 days prior to the start of study treatment

• Patients must have an Eastern Cooperative Oncology Group (ECOG) performance status of 0,1 or 2 (Karnofsky \>= 60%) within 7 days prior to registration; patients should have no deterioration over the previous two weeks

• Hemoglobin \>= 10 mg/dL with no blood transfusion in the past 28 days (within 28 days prior to administration of study drug)

• Platelet count \>= 100 x 10\^9/L (within 28 days prior to administration of study drug)

• Absolute neutrophil count (ANC) \>= 1.5 x 10\^9/L (within 28 days prior to administration of study drug)

• Patients must have creatinine clearance estimated of \>= 51 mL/min using the Cockcroft Gault equation or based on a 24-hour urine test (within 28 days prior to administration of study drug)

• Serum bilirubin =\< 1.5 X upper limit of normal (ULN) (within 28 days prior to administration of study drug)

• Aspartate aminotransferase (AST)/alanine aminotransferase (ALT) =\< 3 x ULN (within 28 days prior to administration of study drug)

• Urinalysis (dipstick) =\< 1+ proteinuria OR urine protein creatinine ratio (UPCR) \< 1 (within 28 days prior to administration of study drug)

• Patients must be able to swallow and retain oral medications and without gastrointestinal illnesses that would preclude absorption of cediranib, olaparib, or AZD5363 (capivasertib)

• Patients must have adequately controlled blood pressure (BP), with a BP no greater than 140 mmHg (systolic) and 90 mmHg (diastolic) for eligibility; patients must have a BP of =\< 140/90 mmHg taken in the clinic setting by a medical professional within 2 weeks prior to starting study; patients with hypertension may be managed with up to a maximum of three antihypertensive medications; it is strongly recommended that patients who are on three antihypertensive medications be followed by a cardiologist or blood pressure specialist for management of blood pressure while on protocol

‣ Note: Patients must be willing and able to check and record daily blood pressure readings

• The patient or a legally authorized representative must provide study-specific informed consent prior to study entry

• Adequately controlled thyroid function, with no symptoms of thyroid dysfunction

• Postmenopausal or evidence of non-childbearing status for women of childbearing potential as confirmed by a negative urine or serum pregnancy test within 7 days prior to start of investigational products (IPs); postmenopausal is defined as:

‣ Age \>= 60 years, or

⁃ Age \< 60 with any one or more of the conditions below:

• Amenorrheic for \>= 1 year in the absence of chemotherapy and/or hormonal treatments,

∙ Luteinizing hormone and/or follicle stimulating hormone and/or estradiol levels in the post-menopausal range

∙ Radiation-induced oophorectomy with last menses \> 1 year ago,

∙ Chemotherapy-induced menopause with \> 1 year interval since last menses,

∙ Surgical sterilization (bilateral oophorectomy or hysterectomy)

• Patients must have a life expectancy of greater than 16 weeks

• Patients with a previous diagnosis of immune or inflammatory colitis or chronic diarrhea \> 1 month without immune or inflammatory colitis are eligible with adequately controlled colitis (no diarrhea greater than grade 1 for at least 28 days) and in the absence of symptoms related to colonic dysfunction; patients who required steroids for prior immune related colitis are not eligible

• Females of child-bearing potential should use two forms of highly reliable methods of contraception from the time of screening until 4 weeks after discontinuing study treatment.

‣ Acceptable methods of contraception include:

• Established use of oral, injected or implanted hormonal methods of contraception.

∙ Placement of an intrauterine device or intrauterine system.

∙ Barrier methods of contraception: condom or occlusive cap (diaphragm or cervical/vault caps) with spermicidal foam/gel/film/cream/suppository.

∙ Male partner sterilization (with the appropriate post-vasectomy documentation of the absence of sperm in the ejaculate).

∙ True abstinence (i.e., not engaging in sexual activity for the total duration of study treatment and the treatment washout period is an acceptable practice; however, periodic abstinence, the rhythm method, and the withdrawal method are not acceptable methods of birth control).

∙ Bilateral tubal occlusion or salpingectomy

⁃ Acceptable non-hormonal birth control methods include:

• Total/True abstinence: When the patient refrains from any form of sexual intercourse and this is in line with their usual and/or preferred lifestyle; this must continue for the total duration of the trial and for at least 1 month after the last dose of study drug \<\<for 3 months after last dose for male patients\>\>. \[Periodic abstinence (e.g., calendar, ovulation, symptothermal, post-ovulation methods, or declaration of abstinence solely for the duration of a trial) and withdrawal are not acceptable methods of contraception\]

∙ Vasectomised sexual partner PLUS male condom. With participant assurance that partner received post-vasectomy confirmation of azoospermia.

∙ Tubal occlusion PLUS male condom

∙ Intrauterine device (IUD) PLUS male condom. Provided coils are copper-banded.

⁃ Acceptable hormonal methods:

• Normal and low dose combined oral pills PLUS male condom.

∙ Cerazette (desogestrel) PLUS male condom. Cerazette is currently the only highly efficacious progesterone-based pill.

∙ Hormonal shot or injection (e.g., Depo-Provera) PLUS male condom.

∙ Etonogestrel implants (e.g., Implanon, Norplant) PLUS male condom.

∙ Norelgestromin/EE transdermal system PLUS male condom

∙ Intrauterine system \[IUS\] device (e.g., levonorgestrel releasing IUS -Mirena) PLUS male condom.

∙ Intravaginal device (e.g., EE and etonogestrel) PLUS male condom