Having some of your gadgets mapped on the D-Pad would be better than switching to your last used gadget by double tapping L1. Arkham games did this well.

There are some moves that conflict with each other. If you're too close to an enemy and try to web throw, it will instead pick them up to do regular throw. This is a problem, because you can't turn off moves you've bought and the AOE throw that I'm trying to use does far more damage than the single person throw.

There are a surprising amount of glitches and bugs in this game. Getting stuck inside unenterable buildings, stuck in the air in an invisible walls, enemies getting stuck between world geometry. The last one is the worst especially when you're doing a mission since you can't damage the enemy and can't beat the mission so you have to restart checkpoint.

Bosses are great however. The ones that particularly take use of the aerial combat and web swinging are phenomenal. Vulture and Electro boss fight was great, kingpin was very good too. Shocker, Rhino and Scorpion bosses were ok.
The missions are also quite fun with their use of traversal. Being able to cling on just about every wall, whether it's running, crawling or standing upside down is handled rather well.