I’ve played - or tried to play - a fair few of them but the only one worth anything is Lego Dimensions.
It is phenomenal and shows how good a dedicated Lego Doctor Who game could be. The dedicated level is huge fun but the bits of the main game involving Doctor Who are excellent too (especially the Weeping Angel bit). And there are aspects of Classic and New Who hidden throughout the game including a Power of the Daleks bit, a Dinosaurs on a Spaceship bit and a Girl in the Fireplace bit. There’s even a Black Archive you can explore.
It’s utterly utterly bonkers.
The fact you can play as every single incarnation of the Doctor up till Capaldi is mad and on top of that, if you enter the TARDIS as each Doctor you get their TARDIS - Eight’s is GORGEOUS.
AND - if you enter on the 4th of the month, as the 4th Doctor, you appear inside the wood-panelled console from Masque of the Mandragora.
The other games are invariably rubbish. The Wii and DS games Evacuation Earth and Return to Earth are nigh on impossible to play and I’ve never finished either.
The Top Trumps game is fine but very, very repetitive.
The VR game - I once played a ‘cut-down’ version at a VR place and the guy running the place asked me if I was okay during the Weeping Angel bit - that was terrifying, but game-wise it was a bit basic.
I bought the updated, non VR version, Edge of Reality (or Time or whatever it’s called) in a sale and I don’t mind it but I played through to the Weeping Angel bit and haven’t played since (although my daughter found my reaction to being chased by Angels hilarious).
On mobile, the best game is The Lonely Assassins - that is actually worth your time. I found it hugely fun to play. I also liked Legacy back in the day but never finished it before it got deleted from the game store and I lost my progress on it. I did find an apk of it and have it back on my phone but because it has no online support now, some aspects are limited (like you can’t buy crystals anymore). I occasionally have a bit of a play.
The other mobile games are okay but that recent Lost in Time one is awful.