First let me just say that "Chicken Crime" is the single greatest title of any piece of media ever.
I like the premise a lot; I'm a fan of deadpan absurdity, and a high-stakes solo toy heist by a chicken scratches that itch, compounded by how over the top dramatic the soundtrack is.
I see a lot of potential here for a fun little stealth mission game, and this serves as a solid proof of concept. Some things that could boost the concept further I think might be a variety of enemies, may be some that move around that you have to sneak past, and a slightly higher movement speed for the chicken (with regard to the latter, there are a couple of levels wherein it just feels like it isn't super feasible to get in more than 3 toys without cheesing it just because of how long it can take to walk from one end to the other). I also noticed that when you get caught, you don't lose the toys you collected, so it's possible to cheese extra toys when you have lives to spare by gathering 3 and then getting killed on purpose to spawn back next to the goal.
Overall I like this idea a lot and would love to see it expanded beyond the Jam version!