First-line Everolimus +/- Paclitaxel for Cisplatin-ineligible Patients With Advanced Urothelial Carcinoma

Inclusion Criteria: * Histological or cytological proof of transitional cell carcinoma (TCC) of the bladder, urethra, ureter, or renal pelvis (urothelial carcinoma). Histology may be mixed, but still requires a component of TCC. * Measurable disease according to RECIST and obtained by imaging within 30 days prior to registration for protocol therapy. * Must be ineligible for cisplatin, based on the following, within 30 days prior to registration for protocol therapy. * Prior radiation therapy is allowed to \< 25% of the bone marrow. * Written informed consent and HIPAA authorization for release of personal health information. * Age \> 18 years at the time of consent. * Females of childbearing potential and males must be willing to use an effective method of contraception (hormonal or barrier method of birth control; abstinence) from the time consent is signed until 8 weeks after treatment discontinuation. * Females of childbearing potential must have a negative pregnancy test within 7 days prior to prior to registration for protocol therapy. * Females must not be breastfeeding. Exclusion Criteria: * No prior chemotherapy for metastatic disease. Prior chemotherapy in the neoadjuvant/adjuvant setting is allowed if completed at least 12 months prior to registration for protocol therapy. * No active CNS metastases or leptomeningeal metastases. Patients with neurological symptoms must undergo a head CT scan or brain MRI to exclude brain metastasis. * No prior malignancy is allowed except for adequately treated basal cell or adequately treated squamous cell skin cancer, in situ cervical cancer, Gleason ≤ grade 7 prostate cancers (treated definitively with no evidence of PSA progression), or other cancer for which the patient has been disease-free for at least 5 years. * No treatment with any anticancer therapy or investigational agent within 30 days prior to registration for protocol therapy. * No known hypersensitivity to any protocol treatment. * No prior treatment with mTOR inhibitor (sirolimus, temsirolimus, everolimus). * No history of immunization with attenuated live vaccines within one week prior to registration for protocol therapy or during study period. * No severely impaired lung function as defined as spirometry and DLCO that is 50% of the normal predicted value and/or 02 saturation that is 88% or less at rest on room air. * No uncontrolled diabetes as defined by fasting serum glucose \>1.5 x ULN. * No active (acute or chronic) or uncontrolled severe infections. * No liver disease such as cirrhosis, chronic active hepatitis or chronic persistent hepatitis. * No known history of HIV seropositivity. * No impairment of gastrointestinal function or gastrointestinal disease that may significantly alter the absorption of everolimus (e.g., ulcerative disease, uncontrolled nausea, vomiting, diarrhea, malabsorption syndrome or small bowel resection). * No active, bleeding diathesis. * No history of major surgery (defined as requiring general anesthesia) or significant traumatic injury within 30 days prior to registration for protocol therapy.