Although this thread is from 5 years ago, I will respond here. I am playing an electric bass guitar (2 years, so just barely out of the complete beginner phase, I think).
As it turns out, at the moment I end up enjoying and playing mostly songs which have a upright / double bass "feel", if not actually recorded on double bass.
I am trying to dig up existing well made CDLCs of songs with that feel that are not very difficult to play, and I can share my list with anyone who is still interested . My motivation is that I am just by myself here, no music teacher around, learning bass and discovering some very old songs (like Django mentioned above), jazz standards and even some modern (Norah Jones, Postmodern Jukebox etc). Would appreciate any pointers.
So if anyone is interested, respond here, and perhaps we can start a new thread and work on an update-able list of songs for e-bassists that like the double bass sound or are aspiring double bassists.