Started watching the second part:
-The outdoor area is terrible. No shadows anywhere, they only appear briefly during cutscenes. Everything looks flat as shit. Even the drop shadows on the characters are super soft and barely there. The indoor areas are slightly better since there's some noticeable lighting.
-Low-res textures everywhere.
-No enemies during side-scrolling areas I guess? The level design is boring as hell. Jump, hit buttons, jump some more. It's slow, there's no pits or anything challenging. It looks like you'd have to go out of your way to die.
-The combat sections seem like a formality. That was practically over before it started.
The out of bounds thing doesn't bother me, there are tons of classic games that have out of bounds glitches. The rest of it is just bad.