In my opinion both of the Skate games were very boring because I preferred first person shooting games over it. So I'm not one to ask, but this may help.
if you want to be able to actually hold manuals without little invisible walls, ability to get x3 multiplier in ranked, simple easy layout - skate1
if you want increased gravity, a point system where vert completely overshadows street, wait for 5 other people to score a spot before you (6 ppl in ranked = too much waiting), complex laggy interface when chances are you won't get around to each button, and pointless challenges in freeskate where newbs hound you over trophies/achievements - skate2
in response to video: they defined the variations of gameplay. not the actual gameplay.
skate2 has a slight edge in glitches with one glitch, if that's what you're into.