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").