The online of goldeneye is enjoyable, though I recommend you go to the friend code exchange thread to get a few friends to play with.
Team conflict, heroes, and black box are fairly active game modes, though classic conflict and the licence to kill modes are not active unless you play in a full party (4 players including you). As for the game modes there is conflict with 8 players with a score to 30, team conflict with a score of 40 is played with 4 on 4 teams though you will want to be with friends most of the time to increase the odds of one of you being the host (some people can't take a beating).
Also there is Golden gun, which is like conflict but the objective is to get to the golden gun before the other players. Kills with the golden gun are worth 5 points, though melee kills still count as one, it has infinite ammo and only one shot before reloading, you win when you get 40 points.
Heroes might cause you the most rage though, with a score of 120 to win it's a very tempting mode to get exp. Each team in heroes has a character they can turn into at random moments (be careful when you check your team score I don't know about the other controllers,but on the classic controller pro, the button to hero is the same one that checks the score) the heroes have increased health and damage and three of one kind of item, Proximity mines for bond, Remote trigger mines for Janus, smoke grenades for Russian, and grenades thrown two at a time for the Zukovsky hero. I recommend playing with a full team of your friends to make it worthwhile and enjoyable for you.
Licence to kill and team licence to kill are the hardcore modes of goldeneye.
Black Box and Goldeneye (the game mode) are team objective games. In Black box you either attack or protect the "black box" (but it's really just an orange box) MI6 always tries to destroy the box while the other team holds on to it, with the holder of the box having just a pistol and impaired movement. In Goldeneye you capture five consoles to reprogram a satellite to move over the other teams base, this is the mode to most likely end in a draw.
It's a long post, but I hope it helps.