I didn't touch on rides before, so here's a little run down.
Rip Ride Rocket, Hulk, and the Mummy are the other coasters besides Hagrids and Velocicoaster.
RRR & Hulk are stereo-typical outdoor thrill ride coasters. Their queues have a theme, but the rides themselves are just riding a coaster.
The Mummy is an indoor dark coaster with a storyline and theming that carries through the actual ride with the ride starting and stopping as you go, so you can take in scenes, special effects, and antimatronics. It's one of my favorite rides. The single rider line will usually get you on and off of it quickly. Although, you might miss the set-up to the story. If you care, you can probably find a YouTube video of the line queue on YouTube.
Toon Lagoon and the raft ride in the JP area are going to soak you, so with your limited time, I'd avoid all those as you won't really have time to go back to a hotel and change clothes. Still, this area has some of the best photo opps in all of Island of Adventure, so it might be worth a few minutes to pose for some fun photos.
Spiderman and Transformers are basically the same ride, but with different theming. I'd choose whichever theme appeals most or whichever has the lowest wait time.
Kong and Fast&Furious are basically the same ride with different theming. Neither is a must do, but if choosing only one, it would be Kong. Don't waste your time with F&F, general consensus is that it is awful. See the recent thread where everyone agreed they'd rather be beaten up by a wrestler than ride it again.
MIB is great if you enjoy arcade style shooting games. It's quite addicting trying to beat your own score, and if the average score in your ride vehicle is high enough, there is an alternate ending where everyone become MIB agents. Single rider is almost always a walk-on, so it's a great option.
Villian-Con is a similiar arcade shooting ride, but it is screen based; whereas, MIB is a dark 3-d ride with animatronics. Personally, I like MIB better, but I'm just not big on screens.
The other Minion attraction is a 4-D theater Imax-like show. It's cute, especially if you have Minion fans, but not worth the long wait it always has. If you are ok with not sitting in the moving seats, you can skip the line and sit on the stationary benches up front. No one ever sits in the stationary seating area, so they always let you right in. You just go to the TM standing at the entrance to the indoor portion of the ride, not the line entrance, and you tell them you want to ride stationary. They will undo the chain blocking entrance and let you inside. It's a great way to see the movie without the wait, and you still have some sensation of movement just from the visual Imax effects. I do this every trip as the vibrating of the moving seats really makes me sick, so I always watch it from the non-moving seats. It's just a bonus that let's me skip the line as well.
ET is a lot of fun of you enjoy classic dark rides like Peter Pan or were ever a fan of the movie ET. There's usually a very minimal wait.
The Trolley Train Ride in Seuss Land is an underated ride that offers some great views looking out over the lagoon, but it is not something I would do if the line is long. It's more an if we have time type ride.
Make sure to really explore the HP areas. There are so many little hidden Easter-eggs and details to take in. If the trip is primarly for HP & JP, I'd make sure to eat in the HP area, check out all the stores, the wand spots, really take time to look around. Maybe look up some lists of things to look out for. For instance, did you know you can call the ministry, send mail by owl post, exchange your muggle money with galleons, walk through platform 9 3/4, and that there are 4 different types of butterbear to try (hot, cold, frozen, and ice cream)? Also, make sure to look up when you are in the HP areas and shops. There are tons of interesting details on and near the ceilings that most people never notice. In the JP area, take time to check out the dino hatchery and to visit with Blue. Also, it could be fun to check out the "secret hidden" caves at the back of Camp Jurrasic, and I recently learned that you can get Dolewhip in the JP area if that interests you.
I'd do a little research on the different rides and make a priority list. Try to knock out your priorities first, then just watch the wait times on the app the day of for everything else. Doing whatever is neraby with a low wait that interests you.
You should be fine to fit a ton in. I did 1 day years ago without EP with my mother who primaryly only wanted to see HP. We explored HP in depth for hours, and the waits were way longer back then for everything. We still managed to fit in a ton of other stuff, including a bunch of rides and shows that are no longer open.