Dan and Joe did win the first CVS1 Tourney. Both of them are joke characters (The Fatal Fury Anime may make you think otherwise but Joe is sort of a joke, sort of again, he’s still the Mue Thai champ even though SNK themselves in SVC MOTM had him loose to Adon in Terry’s ending reinforcing his joke status, he’s not a scrub like Dan though). It’s sort of like how Mr. Satan of Dragon Ball Z wins the tourney, all of the heavy hitters beat up the guys that can kick their Ass and went away doing other stuff, looking for Geese/Vega. Yet we all know what a scrub Mr. Satan is though. I guess… crossovers are even more so up to you on who really won. If I were to take a guestimate for CVS1, I’d guess Ryu and Kyo went after Geese (I think when you do a crossover the other company’s character should be the more important boss, Ryu and Kyo are the more important bosses, plus Geese is more of a Terry Rival and you have to kind of mix it up) and Ken and Terry took on Vega prior. Either or could of faced Gouki afterwards I guess, prolly Ryu and Kyo again(this is sort of a fault of the crossover, having one Capcom Character as the final/true boss, that was kind of lame) As for what about the match ups, usuall crossover stuff. Ryu/Kyo or Terry/Ken fight, they are either interupted, tie, and then decide to work together. Both companies win! Heh, you can see Ryu and Kyo get a classic crossover match up interuption in the SVC Chaos intro.
Geese and Vega sent out invitations to SVC MOTM, not CVS. CVS was arranged by Ken Masters and Robert Garcia. Of all of the crossovers the games that most likely fit together are SVC MOTM and the CVS series. Joe’s joke status are reinforced in both. Vega and Geese swear revenge, and here they are in CVS. From a Gameplay standpoint, with SVC MOTM you could connect your Neo Geo Pocket and send points to CVS1 via a cable connection, and you could send CVS1 points back to SVC MOTM. But I guess that’s really up to you if you feel that way. (I guess if you can’t get over the characters appearing super deformed in SVC MOTM then you would immediatly call it other, but the game is so great I just look past it and imagine everyone anatomically correct). Both of the companies appraoched the crossover differently. SVC MOTM had more of a story but was kind of out there with some of the cast choices. Capcom wanted to make a more realistic crossover, that’s why the only out there character is Morrigan and she’s fairly toned down from her MVC version. SVC Chaos is really seperate from both I feel since no one knows anybody and for some of them this would be at least the third meeting, but they didn’t do something really crazy like bring Rugal back to life (he dies in both CVS2 endings) so if you ignore some of the dialogs I guess you can make a case for it. Really doesn’t matter, crossovers are sort of willy nilly when it comes to canon besides.
More about the SF Animes being… “related” - SF2V sold well in the US so they dubbed the SFZ Anime a sequel to it. But… Ryu and Chun-Li don’t know each other, that’s really not a sequel. At least for anyone trying to connect SF2V and SF2 Animated Movie you have a ten year gap and can imagine the characters remembering each other later on, and for some of the Bios in SF2 AM that don’t match SF2V you could imagine “Y2K bug” if you are really hardcore but you are stretching it at best if you go by strict continuity. But in SFZ Chunners not knowing Ryu to the extent of her having to do Internet research, you’re stretching things even more.
SFZ OVA and SF2 Animated Movie - No word on them being related but I can see them fitting together very easily. In SF2 AM Ryu is supposed to be missing for 3 years, we never saw that looney scientist directly report to Vega so he could of just been keeping things to himself, Ryu wasn’t spotted by that many people. And that weird robot thingy Ryu fought had that same green eye monitor thing the Monitor Cyborg of SF2 AM did. They didn’t really seem to piss on SF2 AM like reinterpreting Ryu’s match with Sagat or anything like that. Sure, the headband thing would be off but everyone gets that wrong anyways. But OVAs in Japan tend to have loose continuity or just plain completly unrelated if anything. Sometimes it’s strange when OVAs are embraced into continuity. Gundam 8th MS Team even though it is an OVA has been embraced as being part of Gundam’s mainstream continuity. But, if the military had that many Gundams, where the Hell was Amaro’s back up? And where were the Newtypes? Okay I realize no one liked Newtypes and they’ll prolly never resurface but still. There’s even a Gundam game that will walk you through the mainstream continuity and eighth MS Team is there.
But in the end, a couple of years ago Capcom sold both the SF2 AM and the SFZ OVA as a package and dubbed it “SF2 AM vs. SFZ” as if you had to decide which was better, instead of billing it as “Prequel and Sequel” or something of that nature. So I guess on paper, the two are not officially related but I myself don’t see to many differences storyline wise between the two. But I guess that’s up to you and however you feel about it.