So my new favorite chord progression for the moment, thanks to Josh, is | E | F#11 | Aadd9 | E | with F#11 being 044300 and Aadd9 being 077600. So easy to play! And it sounds very much like the verse of the Beatles' "You Won't See Me" except in E instead of A.
Also good: G | Aadd9 | Dmaj7 | Em |