The first thing New Nintendo should do with a newly (and secretly) purchased Sega, is maybe not kill the 3D sonics, but instead make New Super Sonic - a 2D speedy side scroller, and once they got the basics down on that, release a 3DS version, and if that does well, release Super Sonic Unleashed - a 3D explorative game in the stylings of Super Mario Galaxies.
Now that we've taken care of the sonic platformers, they should make Super Sonic Speedway - a Sega themed kart racer
Then they create a puzzler called - Sonic D.D.S. - It's like Super Breakout where Sonic wears a white Dentist coat, and his goal is to bounce around inside the mouth and break up plaque before they form on the teeth.
Then we are gonna start a Sonic Sports line: Super Sonic Soccer Smash, Sonic Sliders (baseball), Super Sonic Slap Shot, Super Sonic Hoopz, etc etc.
and once those and all the supporting characters become familiar, they will introduce Super All-Star Sideshow Brawl
These releases are to be offset with the Nintendo equivalents, as Nintendo playing the role of Coke, would create their own Pepsi to compete with.
Once they've got all that down, then they can start working on Phase 2:
NiGHTS, Jet Set Radio, Skies of Arcadia, Space Channel 5, Super Monkey Ball, Samba De Amigo, Ecco the Dolphin, Crazy Taxi & Toe Jam & Earl.
and Phase 2.5:
House of the Dead, Shenmue, Phantasy Star, After Burner, Panzer Dragoon, Shinobi, Space Harrier, Virtua Cop, Virtua Fighter, Yakuza & Vectorman.
After that, sequel the successful series, and add a few more revivals to the mix.
Oh and dump all of the old SEGA roms onto the VC immediately.
(this post was motivated purely out of boredom - not a direct response to anyone in particular)