Favorite Bond stuff is something I'm a bit averse to doing these days since life has kind of kept me from getting caught up with Craig. However, absent his series, here's my picks to the end of the Brosnan era.
Best Bond - Timothy Dalton. Controversial, perhaps, but no one prior to Craig caught the real essence of the character better than him IMHO, and I wish he'd had better stories and writing, though I am probably one of the few Bond fans who loved License to Kill. Still wish we'd had more from him but studio and legal crap delayed things too long and he opted out of a third by the time they were ready to start again.
Second (formerly first) - Sir Sean, of course. For all his flaws, Connery was a hell of an actor and it showed in his early Bonds like Dr. No and From Russia With Love. But he also phoned in his last couple, clearly getting bored of the part.
Best Song: as already stated, Moonraker
Second: Like Ping, can't really pick just one. Maybe Goldfinger or the John Barry-Tim Rice composition All Time High (from Octopussy). And, as mentioned, You Know My Name from Casino Royale by the late Chris Cornell is a fave, too.
Worst: The Living Daylights, Aha. Or maybe Live and Let Die (yeah, that's probably another controversial one)
Best Bond "Girl": Can't argue with Dame Judi Dench. Best M ever. And I've really only seen her Brosnan M but her intro, when she dresses down Bond for his lack of respect for her, really set the stage. And I hear Craig M is even better.
Best Q: Desmond Llewelyn, of course. Longest lasting actor in the Bond series (17 films from 1963 to 1999). Yes, he descended into self-parody later on, but I think the writers get more of the blame than he does. But I haven't seen Whishaw yet. Honorary mention to Peter Burton, who actually played a character closer to Fleming's original in a brief appearance as Major Boothroyd in Dr. No (Llewelyn then took over the part in From Russia With Love).
Best Bond Actor's Real-life Spouse, I shall skip. Cassandra Harris, Pierce Brosnan's first wife, might be a contender, though. She sadly left us too soon (ovarian cancer) but was responsible for introducing Brosnan to Albert Broccoli of Eon Productions during the filming of For Your Eyes Only, in which she had a small role. I think, though, it is the only case of a Bond girl being married to a Bond, though his tenure came after her passing.
One new category:
Best Bond Car: None of the movie cars. 1933 4.5 litre supercharged Bentley, which appeared in the early novels including the famous crash in Casino Royale (in the movie, he crashed an Aston, I think). For film cars, though, I am fond of the Aston Martin DB.5, which has appeared in several films but was most important plot-wise in Goldfinger.