My Chemical Romance's first album, I Brought You My Bullets, You Brought Me Your Love, IMO is their better album. That's just me. Check out Drowning Lessons, Headfirst For Halos, Skylines and Turnstiles, and This Is The Best Day Ever. Those are the best songs on that album, I personally think.
As for Three Cheers For Sweet Revenge, check out Cemetery Drive, Its Not a Fashion Statement Its A Deathwish, Helena, Im Not Okay (I Promise), and The Ghost of You.
alexisonfire is an awesome band, I love 'em to death. Not literally, but y'know. Just a few songs by them: Pulmonary Archery, .44 Caliber Love Letter, Polaroids of Polar Bears, Water Wings, and Accidents.
I strongly dislike Chevelle and Hawthorne Heights (Although... Ohio Is For Lovers is a decent song).
Anything by Atreyu is fantastic.
Later down the road, check out Death Cab For Cutie, Sunny Side Real Estate, Story of the Year, and Thursday for all your emo kid needs.