This will be an international (USA, Canada, and UK) open-label, outpatient, multicenter, randomized study of treatment with RAD001 (everolimus (Afinitor®) or sunitinib (Sutent®) in subjects with mRCC and non-clear cell histology. Special emphasis is placed on papillary and chromophobe histologies while sarcomatoid clear cell variants, medullary, and collecting duct carcinomas will be excluded (see eligibility). Subjects may continue receiving study drugs until disease progression, unacceptable toxicities, or withdrawal of consent, for a maximum of 24 months. Continuation of study assigned treatment will be allowed beyond 24 months at the discretion of the sponsor. Stratification variables will include histology (papillary vs. chromophobe) and Motzer risk criteria (0, 1-2, and 3). Tumor progression will be assessed locally and by independent review, in strict accordance with Response Evaluation Criteria in Solid Tumors (RECIST 1.1) criteria measured every 12 weeks. At the time of progression, subjects will be taken off study other than simple administrative mortality follow-up. Primary pathologic samples and plasma/urine angiokine levels at baseline and over time will be collected and stored centrally for biomarker analysis.