Old school Class 3 in the Sierra, like Cathedral Peak (and summit block). Or, like Ritter-Banner traverse. Destination oriented with little or no gear. Where I usually go, if I need a rope, I'm off route.
Face climbing - on sight, ground up, new routs, big scale. Great for high voltage out on the lead while your homies down at the belay talk smack about you not running the rope out sufficiently to "keep the fluff off."
Those were high times and I wish I had done more of it.
Hmmmm, tough question. Maybe some easy solos with the rising sun, followed by breakfast then maybe a few pitches of sport or a multi pitch before grabbing a late lunch, then hitting the boulders until your fingers don't bend any more is the best for me. Doing more than one discipline of climbing in a day i guess is my favorite type of climbing. Mileage climbing. Places like Squamish, Tuolumne, Jtree & red rocks where it's possible to do are my favorite to visit.
Rock climbing & lots of it = favorite type of climbing.