I really loved Mass Effect, but I just prefer Dragon Age. It just takes itself slightly less seriously. Compare ME3 with DA: I (both the third game in the series). ME3 is short on laughs, which is to be expected, I guess, but still. There's also less of an emphasis on character interaction.

With ME, the majority of party interaction is Shepard - Companion, as opposed to Companion - Companion. In Dragon Age, your companions talk to each other more often, even if you exclude the party banter mechanic (which I approve of). The Citadel DLC for ME3 worked to correct that, though. Ultimately though, Shepard is the primary nexus for your companions, and while that is the case in Dragon Age (especially DA: II), it is less prominent.