Idea 3

SAO crossover ideas

Start at the battle of the ministry where Harry is in the time room and the time turners break sending him to the year SAO starts, he meets up and becomes friends with Kitito and Asuna while playing the game

Have Harry discover he's being manipulated (if you feel like bashing Dumbledore) and run away to Japan where he decides to go muggle and meets Kirito right before getting trapped in SAO, harry himself plays SAO but retains his magic while in the game

Wait till Harry defeats Voldy then use the tried but true cliché of him becoming master of death and becoming immortal because he gathered all 3 hallows, then have him travel around if you feel inclined until he lands in SAO

Have him reborn into that time period, possibly as a brother to Kirito.

as far as him being reborn it could be after he's lived a long and peaceful life or because he became the master of death and can't die so he has to be reborn constantly

(He can still use his magic in the game, he doesn't need a wand while in SAO