Clint Eastwood's Best Move by OnYourMark
A good story on its own, but even better as a set-up for the really good sequel Sign Language for Cops (aka, Neal Goes to Quantico). KikiRec
Compliments of the FBI by OnYourMark
Peter and Elizabeth's backstory, nicely integrating the bits we know from canon. So cute, and so them!
Copycat by IamShadow21
"Peter busts into a dingy apartment, expecting to find the artist behind a forgery racket. That's exactly what he finds, but the artist in question isn't anything like the sort of person he expected to find, and rather than having answers, he's got a far bigger mystery to solve. An AU where things are very different, but the important things are the same."
Courier by Sholio
"10-year-old Grace is being used as a courier to smuggle a priceless diamond necklace through airport security. When everything goes sideways, Grace has to trust an injured FBI agent and a bad guy who's not as bad as he appears." Lovely outsider POV (if not quite young enough, IMO), and Neal is especially awesome.
Jeffrey Nullier's "Man With Fedora" by Sam the Storyteller
Neal's fingerprints turn up on a piece of stolen art, but he's got an excellent reason.... Great Neal-centric fic about art, art appreciation, and some of the darker places inside of Neal's head.
The Many and Varied Reasons Why Neal Caffrey Should Listen to His Friend Moz by dhrelva
Season 1 fic exploring the possibilities of Neal as an artist, and what kinds of things will actually trip his conscience to "wrong". Excellent Peter and Moz, and the whole thing is nicely written.
Nothing Says "Feel Better Soon" Like Grand Larceny by OnYourMark
When a bad guy takes a shot at Elizabeth to scare Peter off of a case, he gets way more than he bargained for -- Neal and Mozzie proceed to rain holy hell down on him. Amusing, sweet and altogether awesome. KikiRec
Shelter on a Foreign Shore by Sholio
"After being disabled on the job, Peter buys a farm with El in upstate New York and raises horses. But retirement isn't suiting Peter so well, which means it's probably just as well when an injured forger turns up on their doorstep with trouble behind him." A long AU, wrapping up the events of Season 2 in a different, but equally satisfying way.
Stories of Progress by BlackEyedGirl
Coping with grief, and friends and family. Neal after losing Kate. Slightly AU, maybe?, but lots of heart-warming moments, well-portrayed.
Survivor by Sholio
Survival story with El as the heroine of the day, when a bad guy runs El and Peter's car off the road in the wilderness. Really good El, obviously.
Our Dance Gave Allegiance by vain-glorious
The one where Neal accidentally kidnaps Elizabeth. Well, sort of. It's a very well-done AU that really works.
Undertow by frith_in-thorns
Post season 3 fic, with Neal still trying to do what's right -- and it all goes wrong.