For platformers, definitely try Yoshi's Island if you haven't already. If the visual style is a turn off, try to roll with it until at least the second boss. Great gameplay.
For a turn-based RPG, you'll frequently get Final Fantasy recommended but if you'd like to also try the other big series, give Dragon Quest V a shot. Otherwise I second the recommendations for Advance Wars (strategy) or Tactics Ogre (strategy JRPG, go with the PSP version for your hardware).
The device looks like it'll be good to play most games upto the PSP. While I can suggest the usual suspects, Super Metroid, Metroid 4, SotN, Pokemon I'm going to suggest odd-ball games which I like
Game Boy
Super Mario Bros Deluxe (NES Mario 1 & JP Mario 2 with saves and bonus features)
Harry Potter 1,2,&3 (Turn Based RPGs, bit rough but an excellent sound track)
Mickey's Speedway USA (made by Rare, fantastic soundtrack, top down racer, GBC game so controls are wonky)
GBA
Crash Nitro Kart (smoother and plays better IMHO than Super Circuit, controls require some patience to master)
Spongebob Squarepants the Movie the Game (Made by Wayforward, and is better than I'd expect a license game to be)
Jurassic Park Operation Genesis (Zoo tycoon with Dinos on GBA)
Genesis
Ren & Stimpy Stimpy's Invention (beautiful and painful platformer)
TMNT Hyperstone Heist (Turtles in Time, but legally distinct so Nintendo didn't sue)
Scooby-Doo Mystery (A point and click adventure on the Genesis, yes they made one)
I got a retroid pocket 3+ for Christmas. Loaded it up with JRPGs, but this list seems like some fun games to play when I finish one so I don't burn out on that genre. Thanks a lot!
I feel most games we have today are just reskins of open world/action rpg lol.
I am in the middle of a game session of Breath Of The Wild and I wanted something fresher and more action packed (and with a badass soundtrack) and I picked up almost blindly Nier Automata, it is kinda what I was looking but still open world and action RPG haha, my bad for not doing the proper research though.
Spongebob Squarepants the Movie the Game (Made by Wayforward, and is better than I'd expect a license game to be)
I liked the movie, and you remind me of those days when I was less critical about licensed games lol.
You got my attention with this recommendation.
Rugrats Search for Reptar
I remember I played briefly a game that had like lots of mini games, I don't think that is thst one, and I definitely don't know which should be better.
The Emperor's New Groove (3D Platformer that's aged a lot better than it should've)
I'm gonna take your word on this, also liked the movie but never got to play it, but oh boy PS1 had some good licensed platformers (Toy Story 2 is my favorite).
yes they ported a PS3 game to a portable with less power than a PS2, and it's not half bad)
I'd like to add Dante's Inferno and Split Second to this list.
For the rugrats game. This one is a 3d platformer with some mini games. It mirrors actual episodes of the show. I believe there is also an Angelica game which is a mini games collection only.
I haven't played most of these, but I will gladly add an endorsement to the early Harry Potter games. They often only tangentially related to the movies, but they had some awesome mechanics, and played into the full story really well.
Oh, I've never played that version. But handheld ports of games in olden days are usually on the shit-tier. Even if the achievement of porting it is commendable.
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