My Chemical Romance is a good band for what kind of music they play. I have enjoyed their last two records and am excited to hear their new album Danger Days:The True Lives ofthe Fabulous Killjoys (which I will probably review when it comes out on Nov. 22nd). You should listen to them though.
I recommend listening to whatever music you enjoy! Myself, I liked some of MCR's music; Thank You For the Venom was one of my favorite songs of theirs. "...Black Parade" was a fun and excellent album, but I'm more of a fan of their older stuff as a general rule.
As far as 'stuff like' My Chemical Romance, that would depend on which bands you mean.