Almost have half the time pieces and actually have a few thoughts beyond initial impressions.
First up - the bad:
Fuck the default camera in aHiT. It follows you quite well when you're in a section where the camera would need to swing around to the other side of an object, but the rest of the time I ended up fighting with it and having a problem with motion sickness because of how often it'd fly around. Thankfully, the robust options menu in the game does allow for disabling the default camera, giving the player full control (in most levels) of the camera. It's not something that is the end of the world thanks to having the option to disable it.
The use of one of the depth of field in the game is super jankball. It somewhat undermines having the draw distance set to max so you can see the whole level from a high vantage point when the depth of field is only set for you to see a relatively small ring around your character. I found this super irritating for the first few hours of the game and eventually just turned it off, so I could actually see shit in the distance. Like the camera issue, thankfully there was a way to disable the option, so it isn't a huge deal.
Next - the good:
Variety. I won't say there is a lot, but for a smaller game there is enough. A Hat in Time tries to have some variety to the missions you're doing. Some missions are based around explorations, other stealth, others platforming, and some even horror. The variety goes a long way to making repeated treks through the same areas not feel stale.
A Hat in Time also has that same goofy feel of older Rare games. The various characters are all very silly and animated in the way they talk and do things, but that suits the game. it doesn't take itself so seriously. I guess that is what they were going for, so I'd say Gears for Breakfast hit the nail on the head in that regard.
That all said, I'm enjoying this a fair bit. There is only one mission so far that I haven't really enjoyed and that comes down partly to my own incompetence. It's not a very challenging game, but it is fun...or at least I'm having a lot of fun playing it.
Oh also it has skins for your hats and colour variants for Hat Kid and they aren't paid DLC. Just an additional way the game mimics older games.