Testing Cabozantinib, Crizotinib, Savolitinib and Sunitinib in Kidney Cancer Which Has Progressed

Inclusion Criteria: * Patients must have histologically or cytologically confirmed papillary histology renal cell carcinoma which is metastatic or locally advanced disease not amenable to surgical resection; (NOTE: a designation of type I or type II should be made by the local pathologist if possible); mixed histologies containing type I or type II will be allowed provided that they contain \>= 50% of the papillary component * Patients must also have measurable disease, defined as at least one lesion that can be accurately measured in at least one dimension; disease X-rays, scans or physical examinations used for tumor measurement must have been completed within 28 days prior to registration; if there is clinical suspicion for bone metastases at the time of enrollment (at the discretion of the investigator), bone scan should be performed at baseline (within 42 days prior to registration); all disease must be assessed and documented on the Baseline Tumor Assessment form * Patients with a history of treated brain metastases who are asymptomatic and have not received steroid therapy in the 14 days prior to registration are eligible; anti-seizure medications are allowed provided they are non-enzyme inducing (e.g. topiramate, levetiracetam, gabapentin) * Patients must not have cavitating pulmonary lesions; patients must not have tumor invading the gastrointestinal (GI) tract or evidence of endotracheal or endobronchial tumor within 28 days prior to registration * Patients may hav…