When I was wasting my years at university, I became a dab hand at the Irish Times cryptic (v similar to The Times) and used to breeze through the Torygraph, which is only semi-cryptic at best. Observer Everyman was quite fun, and briefly got into the Guardian one, but never really mastered it, or got used to the different setters’ styles. These days, I don’t do any, but if I want to bullshit up my prowess online, then I say I do the Guardian one.
Tis funny, how once you get really into cryptics, a definition crossword (i.e. mostly one word clues) can leave you a bit lost. They often require more lateral thinking than cryptics.