Hmm... thats actually a pretty big wave. Yugi never gets noticed for defeating Kaiba, and possibly never gets Solomon's deck, unless its handed down, and if thats the case, Yugi is very unlikely to get invited to duelist kingdom, he's not going to be noticed unless he does manage to summon Exodia elsewhere (due to the fact that no-ones ever summoned Exodia).
This also means that Kaiba remains as dark as he was before Yami Mind Crushed him... of course, given that Kaiba is still a selfish evil jerk post-mind crush, this just means we're minus one gay clown. Of course, the fact that Yugi manages to summon Exodia means that if they are in Duelist Kingdom (Kaiba as per canon, he'd likely still go after the still going to be kidnapped Mokuba, Yugi for being noticed via skill and Exodia) then Kaiba will likely be gunning for one of the only people that might offer him a challenge aside from Pegasus.
On an extra note, if Duelist Kingdom happens as per canon motivation wise (as in stealing Solomon's soul) would Yugi be able to resist the temptation to bring the Blue Eyes White Dragon that is currently undamaged? if he does, this just gives Kaiba MORE motivation to seek him out.
If Duelist Kingdom doesn't happen, then the events of Battle City... probably won't. Seto and Mokuba will likely still have their souls trapped in cards, and Pegasus will have likely ressurected Cecelia. This could leave Ishizu with a dilema, does she give the Pharoh Obelisk right off the bat, or Pegasus, and get Pegasus to arrange a Battle City equivalent? If this does happen, then Joey is also without Red Eyes Black Dragon unless he faces off against Rex in the new Battle City.
This also means that, if Yugi has Obelisk, that Marick will likely be a bit more direct in targeting him, as he's the only target he needs to focus on.
Kinda sounds like either a recipe for a bad end, or for an Exodia Deck using Yugi.
Heres another one: What if Kaiba, in going to the school a little more pre-series, became friends (or aquantences) with Yugi? Maybe he notices one of the manga/season zero events and notes that Yugi might be a good challenge in a game of chess, given that Yugi is rather smart, especially when it comes to games, it might get his attention. This could lead to a nice conflict later on when Yugi mentions Solomon has the 4th Blue Eyes.