1. Cell or anyone else do the reasonable thing and kill Spoppo/Yamu before they can do their stuff.
Cell Games happen as normal. No Buu Saga. Golden Freeza fucks everyone.
2. They take SSJ2 Gohan's energy and leave.
Kaioshin explains the situation. Cell decides to call the tournament and follow them to Babidi's spaceship for the fun of it. Eventually, Cell is majinized. For plot sake, he reaches his post zenkai level. He and Gohan are transported by Babidi somewhere to fight each other while the rest of the gang is trying to stop Buu from being revived. Cell Jrs probably help too.
Buu awakens. Cell Jrs are his first victims. Like Majin Vegeta did to Goku in canon, Cell knocks Gohan unconscious and goes to fight Buu alone. Seeing he is outmatched, he resorts to selfdestruct. He has gone mad of rage and does not care about Earth's fate; he only wants to destroy Buu. Goku teleports with Cell to Kai's planet and finds a way to trick Buu into holding his hand so that he gets teleported too. Buu regenerates, but so does Cell.
Cell teleports Buu back to Earth. He has got a zenkai and reached SSJ3 level. The fight continues, but Cell now has the upper hand. Eventually, he realizes Buu can easily be manipulated and talks him into killing Babidi.
After all that fun he had, Cell relaxes a little, starts liking Buu and decides to become his friend and teacher. They both stay at Earth. Because of that, Goku does not ask the group not to revive him, so he comes back too.
Satan does not get fame, so Gohan probably never meets Videl. Years later, when Beerus shows up, Cell is the one to become SSJ God. Nevertheless, after the fight with Beerus, Goku, Vegeta and Cell all become Beeruses/Whisses students. Golden Freeza is defeated even easier than in canon. U6 tournament is won even easier than in canon.
If Zamasu decides to proceed to Zero Mortal Plan, he probably takes Cell's body, but he is still defeated in the end. About TOP, I don't know. Maybe Cell takes Goku's place during the final battle against Jiren. Also, there is a chance the stakes aren't as high as in canon, since Cell can always spawn some Cell Jrs for Zeno(s) to play with and be distracted from erasing universes.