Alright, here's my take in all of these in order of top to bottom as how you posted them.
Planet Panic: The premise feels way too much like OK KO, with it seemingly about another "world of heroes", and the protagonist is either the aspiring youngling apprentice, or the role-model master. Except this looks to be way more interesting in terms of actual characters and stylistic choice. That being said, good lord the whole "lol random xD" type of writing and humour is getting old. It's like they're trying to revive Invader Zim with the amount of loud, repeated words.
The Girl From Dinosaur Island: Easily the most unique-looking one due to the fact that the animation is fucking good. Like it looks like people actually tried, and it did. It almost looks like a 2D Disney animated film it's so good, though there's not really much to expand upon what I saw in the pilot. This one is easily the one I want to see succeed the most. Also that little girl almost fucking died from a laser rifle to the face.
Someone Needs to Stop Aunt Phyllis: Uhh… child abuse – the show? That's all I'm getting from it and it's less slapstick one-off comedy and just comes off as really awkward to watch. I do hope that it's not just all that, though. Sketch comedy can get real old real fast if you run out of ideas.
Space Mission: Danger!: CalArts.
Barbaryan: Ehhh. While it's not more "lol random" humour, it's definitely not for me. It's at least structured with its humour, and the style of the animation itself reminds me of the days of earlier cartoons. There's a good mix of lanky sharpness and round, chubbiness (which might be intentional because babies) and a little bit of that old gross-out factor. Not terrible, but I wouldn't tune into it deliberately.