What are good openings for bullet chess? It is evident that bullet chess has a different set of strategies from regular chess. It follows, therefore, that certain openings will be better or worse relative to their normal chess counterparts.  Hikaru Nakamura covers some examples in his book "One Minute to Mate", but the coverage is very light.  What are some good bullet chess openings that are particularly strong due to the nature of bullet chess?
The best bullet players can and do play standard openings.  The openings are theory because they are the best moves.  

If you want to play something different, there are a few justifications.  If you play certain moves all the time, you can often make the moves faster and gain time on the clock.  Similarly, if you play something off-beat, you will most likely know some plans from the position and often have a better understanding than your opponent.

With that lead in, one of the simplest openings to play is to fianchetto both bishops, play e3 and d3, and bring the knights to d2 and e2 (not necessarily in that order).  There is very little going on in the first 8 moves, so you won't have to look hard for tactics.  The downside is that you give your opponent a large space advantage.  

The main plans of this opening are to develop all of your minor pieces and then decide to play either c4 or f4 depending on how your opponent has deployed his or her forces.  You can castle (usually kingside) and then just play chess.

Personally, I have always had better success in online chess (especially bullet) playing standard openings.  Play openings that you are comfortable with, and you will be able to take advantage of your whole sum of chess knowledge, as opposed to just utilizing bullet "tricks".

While it is beyond the scope of this question, one of the best ways to improve at bullet is to work on playing better and faster when both players have 10 seconds.  Most games are won or lost in this time frame.