Kenita palms, dracenea, lady palms, Parlor palms, cordyline

I love rhapis (lady palms). They are very expensive because of their slow growth, but they will thrive indoors! Parlor palms are another favorite of mine, especially since it does make a nice sized trunk indoors (the trunk is thin, but it has rings which definitely adds to the tropical effect). Kentias are also great, but they are very expensive. I also like trachycarpus and livistonia indoors. Both can get a nice trunk indoors (especially trachycarpus) and they are pretty cheap palms too (livistonia is very easy to find by you).
Good luck!
-Alex

Rhapsis and Kentias are very attractive indoors and are both tolerant of bright but not necessarily direct sun. And while they may be more costly initially, consider that once you buy one of these, they tend to hang around--for years. I've spend much more on the endless secession of Majesty palms. Also great indoors is the Pygmy Date. In fact, it's one of the few palms that will actually look like a mini palm tree as it develops a decent truck at a smaller size. Chamaedoreas are also great indoors. I would also suggest Spindle Palm, Bottle palm and Triangle Palms--especially like the Spindle among these three.--The Spindle reminds me of Coconut palms but are much easier inside to grow--but they are BIG growers. You might also try Fishtails (Caryota)--they also do well for me. Happy planting!