There really are so many cheeses I like that I can't single any out.
However, I'll have a go. A high quality Stilton should be there. Not those pot things that appear at Christmas with crumbed off cuts of cheddar squashed in with some fat on top to seal it. I do like some of the newer veined cheeses too, such as Shropshire Blue or Barnstone Blue. And Castello creamy Blue is another take. Worth a try. If I want spreadable, Philadelphia with salmon is up there. Wensleydale with cranberries is my wife's favourite, so I help her out eating that. As for Cheddar, I alternate between mature and extra mature. Probably my go to for cheese on toast. My wife likes Red Leicester, which I find a bit bland, but I do try to help her out there too. Dutch and French cheeses can be welcome too, so long as they aren't imported in dinghies.
But there's too many and not enough time. If there's any cheese I don't like, then it's probably those that have bits in them, such as garlic, chives and the like. But again, if I discover them in the 'fridge, I tend not to be rude. Oh, but I generally give the Laughing Cow a miss.