The Lichess federation has born! It will feature many tournaments, especially those of classical time control. A rapid championship tournament and a 90/30 tournament (#2) is already available! See
http://en.lichess.org/forum/general-chess-discussion/9030-tournament-2 for the 90/30 tournament and
http://en.lichess.org/forum/general-chess-discussion/1st-chess-rapid-championships for the rapid championships
http://en.lichess.org/team/lichess-tournament-federation-lcf
You will find more information at that link, including the LCF TITLES you can earn. You and your opponent negotiate the time to play.
Good luck!
http://en.lichess.org/forum/general-chess-discussion/9030-tournament-2 for the 90/30 tournament and
http://en.lichess.org/forum/general-chess-discussion/1st-chess-rapid-championships for the rapid championships
http://en.lichess.org/team/lichess-tournament-federation-lcf
You will find more information at that link, including the LCF TITLES you can earn. You and your opponent negotiate the time to play.
Good luck!