A Randomized Phase II Basket Trial EXTENDing Efficacy of Systemic Therapy With Local Consolidative Therapy for OligoProgressive Metastatic Disease (EXTEND-OP)

Inclusion Criteria: * Age ≥18 * Histologically or cytologically confirmed stage IV cancer. * Eastern Cooperative Oncology Group (ECOG) performance status ≤2 * Candidate for LCT (radiation therapy +/- other local therapies such as surgery, ablation, or embolization) to all sites of progressive disease. * Progressive disease will be defined as a discrete radiologic lesion that has not received prior local therapy. Progressive disease will be defined as RECIST (v1.1) defined progression from pre-baseline imaging to baseline imaging at time of screening for the trial. * Progressive disease must represent an active lesion, which may be defined as the primary tumor site, regional nodal disease, and/or distant metastatic sites. * Candidate for radiation therapy to at least one site of disease. * Between one and five progressive lesions, counted as follows: each lesion (not site) will be counted as one, with the exception of metastatic lymph node stations, which will collectively count as one lesion. Regional nodal stations will be counted as a collective single lesion if oligoprogressive. All progressive lesions must be amenable to local therapy as noted in criterion 4.2.1.5 above. * Counting of oligoprogressive nodal disease will be based on nodal chains. A nodal chain will be considered a single metastatic lesion if the presence of that node results in the patient as having M1 disease per the TNM staging system, AJCC version 8.0. In addition, one of the following criteria must be met: a) ≥1 LN meets radiologic criteria for metastatic disease via RECIST 1.1 (short axis ≥15mm), b) pathologic assessment has confirmed the presence of metastatic cancer cells, and/or c) the LN exhibits imaging signal characteristic of a metastatic lesion (e.g. FDG avidity, contrast enhancement, etc…). In the event of ambiguity, a study co-Investigator will make a final determination of whether pathologic criteria are met. The following caveats apply: * In participants with a LN exhibiting a short axis ≥15mm and who have other diagnoses that can produce enlarged LNs (e.g. indolent CLL, sarcoidosis, etc…) or a prior history of benign enlarged LNs will not be considered to have metastatic disease per the discretion of the treating physician. * LN chains that occur bilaterally will be considered separate metastatic sites. For example, left axilla LNs will counted separately from right axilla LNs. * The following midline LN chains will be counted as 1 metastatic site: mediastinal, para-aortic, mesenteric. * The following bilateral LN chains will be counted as 1 metastatic site for unilateral involvement, and 2 for bilateral for involvement: preauricular, cervical and occipital, supraclavicular, infraclavicular, pectoral, axillary, hilar, epitrochlear and brachial, iliac, inguinal and femoral, popliteal. * Baseline imaging must include a scan done within 4 weeks prior to randomization, demonstrating oligoprogressive disease by RECIST (v1.1) criteria compared to pre-baseline imaging. * Baseline imaging must be done within 4 weeks prior to randomization, and the following imaging is required: PET/CT scan or CT scan of the chest/abdomen/pelvis. MRI may be substituted as indicated (i.e., CT scan of chest plus MRI abdomen/pelvis). Intracranial imaging is recommended for those histologies/disease sites where intracranial restaging is routinely recommended or appropriate as part of staging/restaging standard-of-care. * Pre-baseline imaging must be done 6-16 weeks prior to baseline imaging, and it is recommended to have a comparable imaging modality (matched modalities between pre-baseline and baseline imaging). RECIST v1.1 will be utilized to define any progressive sites of disease, and if between 1 and 5 RECIST-defined progressive sites of disease are identified, participant may be eligible. Non-RECIST-eligible lesions may be eligible if radiographic and/or clinical features support this lesion being progressive. * Participants referred for the study that require immediate LCT can receive treatment to CNS lesions or other symptomatic lesions prior to randomization, but these lesions will be counted towards the total number of oligoprogressive lesions. * Has one of the following 7 histologic types (metastatic disease): colorectal carcinoma (CRC), renal cell carcinoma (RCC), breast cancer, pancreatic cancer, urothelial (bladder) cancer, prostate cancer, and esophageal cancer. * Females of childbearing potential must not be breast feeding and must have a negative serum or urine pregnancy test and must agree to use adequate contraception from the time of screening until 3 months after discontinuation of the study medication. Acceptable methods of contraception include total and true sexual abstinence, tubal ligation, hormonal contraceptives that are not prone to drug-drug interactions (IUS Levonorgestrel Intra Uterine System (Mirena), Medroxyprogesterone injections (Depo-Provera)), copper-banded intra-uterine devices, and vasectomized partner. All hormonal methods of contraception should be used in combination with the use of a condom by their sexual male partner. Females of childbearing potential are defined as those who are not surgically sterile (ie, bilateral tubal ligation, bilateral oophorectomy, or complete hysterectomy) or postmenopausal (defined as 12 months with no menses without an alternative medical cause). Women will be considered post-menopausal if they have been amenorrheic for the past 12 months without an alternative medical cause. The following age-specific requirements must also apply: Women \< 50 years old: they would be considered post-menopausal if they have been amenorrheic for the past 12 months or more following cessation of exogenous hormonal treatments. The levels of Luteinizing Hormone (LH) and Follicle-Stimulating Hormone (FSH) must also be in the post-menopausal range (as per the institution). Women ≥ 50 years old: they would be consider post-menopausal if they have been amenorrheic for the past 12