Here is the full list of all 24 Big NEON Tower VS Tiny Square achievements.
You made it passed the first level. Congrats!?
Way to stick with it.
Third time is a charm, right?
Way to avoid the tight security.
Short hops FTW
You're becoming a jump master.
You outran security, nice.
Riding the light beams to success!
The broken neon can't break you!
Timing is everything, as you've learned.
It's getting pretty tough now. Good job!
Parkour!
That swimming section sucked!
You CAN dodge a saw!
Reach for the top!
You made it to the top of the tower. Wow!
The Q stands for "Rescue"...right?
I guess we're going back down...
You made it all the way back to the first section. You're #1.
You collected all the Cherries. If they could talk, they would thank you. I think.
You avenged Pineapple and killed Big Square...for the last time?
You "rescued" Pineapple faster than the developer could!
You got your revenge faster than the developer could!
You beat the game with less deaths than the developer normally does!