Not exactly what I thought of for this thing. But plus for thinking outside the life box. (Ha Sonic 1 reference)
Trying to extend the life of the topic. Plus, the topic name just called for stuff like this. Also, I don't know jack about the non-SatAM Sonic universes.
What if SatAM were in The A-Team? Now that would be a hoot. *Imitates the A-Team announcer voice* "10 years ago, a small group of Mobians were captured by the evil Robotnik. They promptly excaped from a maximum security stocade to the Great Forest. Still wanted by Robotnik, they survive as soldiers of the resistance. If you've got a problem, if no one else can help, and if you can find them, maybe you can hire the Freedom Fighters" *Cue SatAM theme* Sonic is Hannible. Ant is Face. Tails is Murdock. Rotor and Bunny are aspects of BA (Rotor's the engeneer, Bunny's the heavy brawler). And Sally is Amy. And istead of a van, they've got a black Hover Pod with a red racing stripe. 
You have a good point about extending the life. And I have played or watched any of the sonic games. Even fan games Like Sonic Epoch. I have heard but never see the A-Team. But great Ideas.
With that in mind. One Non Sonic mix I have always imagined is Sonic and Kingdom Hearts. Here's How I imagine the opening. (You see sonic eyes closed and he is falling into an abyss, his eyes open and he points his head further back and words flash on the abyss)
Sonic: I have been wondering about many things. Like is destiny set in stone or not. (The opening song from Kingdom Hearts 1 plays, Then the screen starts to flash Sonic laying back eyes closed in the abyss. Then you get a view of his back and then his face as he's eyes head pointed back and then eyes close back and he falls faster. And its almost like he is falling though water, because bubbles come off of him as he falls. Then as he falls she get a view of his face again as his eyes shoot open and you see him in the Great Forest. Looking out into a clearing. He looks around and the screen pulls back to see Knuckles in the clearing. The screen zooms back into Sonic as he is blinded by the sun for a second. When he looks at Knuckles his back is turned, He takes a few steps then looks down he and Knuckles are divided by collapsed trees. And then Sonic looks up and sees trees collapsing. And the clearing has several tall trees that could collapse on him. Knuckles turns around and Puts out his hand. Sonic runs forward jumping over each tree in front of him. But it almost looks like the more he runs forward the farther he gets. Then the trees fall over them both. But then they find themselves under water. Sonic looks up to see Knuckles in the water. And Knuckles puts his hand out again. Sonic tries to swim for Knuckles but is pushed back by the current of the water. And in a few seconds he floats up, And pops up gasping for air. Then finds himself back In the clearing Standing in the middle. He looks around to see Sally beckoning him over. He runs over to her. When he gets to her he leans over to catch is breath just coming out of water then mysteriously appearing on land and running over to Sally. Sally looks like she chuckles because of this looks funny for Sonic. They both look into the Sky and see shooting stars. And one of them Is another Sonic falling from the Sky head first. As that Sonic that falling gets closer to them, The one on the ground falls back. As he falls Sally tries to grab his hand. But fall into the water witch becomes a Sky. He reaches back up as he falls, And Sally reaches further down. But Sonic is already falling far and fast. Soon he just relaxes into a head dive. And as the screen flashes white because of the sun it the background. He again slashes into water. And is spinning and such as he sinks. As he approaches the bottom his eyes are closed and he flips back onto his feet. Eyes open as he lands on his feet. He looks around for a short time. Then he takes a step. And the black ground disappears into a platform as Flickys fly up from the ground. He looks up as the Flickys fly away an he sees he isn't under water anymore, And the platform he is now on is a Giant tower with picture of Bunny.
Well what do you guys think. When you imagine it does it look way past cool or what (Saying that is just a reference I am not trying to gloat. And I am only saying this because there have been misconceptions from many people (Sonic fan or not) That were angry at me because they thought I was gloating so sorry for putting this last part just being careful) But on a more positive note I finally made a reference on this fan sight. That's a plus. I better stop typing or I will never get off this keyboard (LOL)