Don't forget UberT, alternatively known in some markets as Uber Taxi, available in some areas (such as NYC) where presumably Uber has an agreement with a taxi dispatcher.

There's also UberSelect in the Chicago market (and perhaps others--I just saw it there). The example car when clicking that option is a Mercedes of some sort.

FWIW, Uber's branding runs the words together with the second word in all-caps (e.g. "UberSELECT").