I very much enjoyed Skyrim. Fallout was good when it was more of a strategy type game back in the day, but I didn't care for it much when converted into a FPS/RPG hybrid. Still fun, but my vote goes for Skyrim.
Elder scrolls is supreme. Skyrim while it has some pretty nasty glitches(none of which I have ever seen personally) is an amazing game. Fallout is an less awesome game,but it has more humor than elder scrolls so it's almost as good. I have been TES fanboy since Daggerfall and Fallout since Fallout 3 sooo in short my vote goes to TES over Fallout.
I really wanted to play Daggerfall, but it was an absolute nightmare trying to get it to work properly with DOSBox.
I played it on my friends N-Gage around the time Morrowind hit the scene then I got an Xbox and played Morrowind and It was Pro...then later on I got it for PC as well as xbox 360 oblivion and PC oblivion the mods make TES even more fun!!!
I have not been able to get into either series tbh. I find them both boring. However ... Skyrim has stolen my soul ;_;