Mega man from Capcom to Nintendo.

If I am wanting to give a present to my favoured games company, then I will say Gran Turismo to Nintendo, if the only scenario was the change of hands for the IP though it wouldn't do much, but if this move involves making sure Nintendo puts it to use, or that the right developers go with it then definitely GT to Ninty.

As a pure exercise of gaming desire though, dredge up TimeSplitters from wherever it is at the moment and give it to someone who can: 1. Do some good with it, and 2. Put it on the Wii (don't care if it's exclusive or not).

Actually the above could also go for Pilotwings, Blast Corps, Eternal Darkness and maybe Perfect Dark too. Although I think with Pilotwings I would be hesitant letting it out of Nintendo's hands unless Paradigm goes with it. (though looking at their history they don't seem to have done anything good since N64)

Some really good suggestions here,
and some that would absolutely kill certain franchises...

Maybe - Little Big Planet and give it to Nintendo - I think they may do a better job with it!

Final Fantasy to be Nintendo Wii U and 3DS exclusive. That really is probably the only series I care about that isn't on a Nintendo console.

I would say Rare, but they haven't done anything important since the N64 - Perfect Dark or Conker were their last significant titles, and those came out in the N64's Twilight years (which admittedly, was about half of its lifecycle).

I thought of another one today, but I think I'm (probably) the only one who would care ... Mutant League Football/Hockey from EA to Microsoft.

Using the Mario Kart/Party/Sports line as a template, the Mutant League could be used to create a series of iconic "mascot" games with related gameplay mechanics; that has content that is more violent and targeted towards teenage and adult male gamers

Megaman

move him to Nintendo

1. so we can finally have megaman games
2. so they can be quality megaman games unlike the starforce and battle network series
3. so that they wont be struck with the Capcom DLC disease.

it would be a tremendous move for nintendo,
capcom doesnt involve megaman now, so it wont really bother them.

I used to think Little Big Planet to Nintendo but then LBP would loose all of its online features so I don't have an answer now.

Mario to MS.

What purpose would that serve?!??!?!?