OK, here come my two annoying bugs.
EAxis has made only one good phone for the game (Pets EP) yet, and Apartment Life makes it look stupid (I haven't tried the table version):
And one thing that is rather strange is that the icons/pictures of Sims change every once a while. It's the picture of Sim that changes when you change his/her look in the mirror; in my game it changes randomly without having makeovers done.