I got this one from Draikinator! They mentioned something like this and my brain went 'I WILL MAKE THIS REAL!' and here we are!

Tigerkit and Whitekit are born to Snowfur and Thistleclaw. Tigerkit is now mainly white with gray patches and black stripes, blue eyes like his mother's. Pinestar and Leopardfoot were never mates, but Pinestar still leaves. Tigerkit is weaker than his brother, causing Thistleclaw to be softer and take care of his sons after Snowfur dies. Bluefur still visits her nephews, not wanting Thistleclaw to taint them. Tigerkit spends far more time with Thistleclaw than Bluefur, however, gaining a strong bond with him while Whitekit grows closer to Bluefur. Sunstar gives the kits their normal mentors, including Tigerpaw being trained by his father because Sunstar wants the kit to be strong and he knows Thistleclaw won't go easy on him.

Everything goes as normal: Tiny becomes Scourge, Bluestar gives up her kits and becoming leader, Tigerclaw and Whitestorm gaining their names, and Thistleclaw dying. What Bluestar doesn't know is that Tigerclaw resents her for being leader when his father deserved the position more. Bluestar is blind to Tigerclaw's wrongdoings because he and Whitestorm are all she has left of Snowfur; this gives more meaning to her being so furious with Fireheart when he suggests Tigerclaw is a traitor. Bramblekit and Tawnykit are born, with Tawnykit looking the same, but little Bramblekit still looks exactly like his father. Tigerclaw betrays Bluestar, leaving her broken that Snowfur's son would do such a thing; Whitestorm is horrified his brother turned out just like their father.

Same things as books happen: Tigerstar, Scourge, TigerClan and LionClan. The only difference is that Tigerstar kills Deadfoot instead of Gorsepaw because I think Gorsepaw was only killed to shock the audience and Fireheart, but if Tigerstar really wanted to make a statement, he would have killed the deputy. So, Gorsepaw lives and becomes Gorsefoot after Deadfoot. Tigerstar killing Deeadfoot could also provide reason for Crowpaw hating Brambleclaw so much on the Great Journey because Deadfoot was Crowpaw's father.

Mudclaw becomes WindClan's deputy after Deadfoot. Gorsefoot becomes deputy instead of Onewhisker as Tallstar dies, Mudclaw still dies, and Gorsestar names Ashfoot his deputy in memory of Deadfoot; after Ashfoot dies in the Great Battle, he names Harespring his deputy (because I love Harestar!). Tigerstar visits Hawkfrost and Brambleclaw still (Hawkfrost is now a gray tabby with white and ice-blue eyes), maybe even joined by Thistleclaw in saying that all deserve to be leaders. Brambleclaw still kills Hawkfrost.

Blah, blah, blah, everything happens and I think with Brambleclaw being black and gray and white, it makes far more sense with Squirrelflight saying Hollyleaf (a black cat) and Jayfeather (a gray tabby) are his kits (Lionblaze doesn't matter because he could be a 'lighter tabby version of Squirrelflight'). In the Great Battle, Firestar still faces off against Tigerstar, but I think Ivypool should kill Hawkfrost, Brambleclaw fights Thistleclaw, and Snowfur tells them all that she is sorry her mate, son, and grandson turned out this way.