As Esotera says, without knowing what kind of music you like, what stage of learning you're at, it's kinda hard to make solid recommendations.
That said, I've been playing for over 20 years, taught a few people and there's nothing worse than picking up an instrument for the first time and being told you have to learn this theory or you have to learn that technique. It needs to be fun to start with or, generally, people lose interest. (First song I learned - Should I Stay or Should I Go on the bass - it had two less strings than a guitar and seemed easier - until I learned how to play it properly!)
So, with that in mind, and avoiding anything beyond beginner level (i.e. no bar chords), if you can hit D, G and A chords you have a wealth of 'three chord epic' songs at your disposal, from classics such as Twist & Shout, La Bamba, anything by the Quo, lots of stuff from Oasis etc.
If you can then add a C, an A minor and an F (can be played without being a bar chord) you've pretty much covered everything posted above (apart from some of the more odd suggestions which involve some serious power chordage and some proper ability to get half decent) and if you're into playing with friends, beach parties etc., you'll find everyone's a great fan of American Pie and Hotel California, even if they wouldn't be seen dead with the CD
Personally, I've found new players find the electric guitar a little easier due to the lower action and generally narrower necks compared to acoustics, but your mileage may vary.
Give us more info and we can help more, but to illustrate my point, this is worth 5 minutes of your time...
