Remakes are interesting because there's multiple types of remakes, and I think some games would be welcome to see certain types over others.
I'll use the Resident Evil remakes as examples as I think they cover the three main types.
The remake of Resident Evil (1) is an example of what is probably the best 1:1 remake, because it doesn't cut much of anything from the original; it only improves it (new graphics, maybe some quality of life stuff), and even adds some new things, but not enough to overwhelm the original content and make it feel like a different game. The advantage to this remake is that it's the safest, and almost always improves things. The disadvantage is that you may be skipping an opportunity to improve it further, and if a long enough time has passed (decades), old game formulas might not be welcome anymore. This one succeeded because it happened very quickly after the original game; doing it today might not have the same success.
The remake Resident Evil 3 (2020) is the exact opposite. It translates the old formula to a newer one (which is sometimes a good thing, mind you, because old games were often made as they were because of tech limitations at the time). While it stays somewhat faithful to the source material, it also takes pretty big liberties on changes to characters, story, the setting, and other content. This is the biggest risk, but theoretically has the biggest potential. The problem is... most games only get remade if they sold well enough, and if they sold well enough, they probably didn't have enough problems to need this level of remake. In other words, this type of remake isn't bad... but it's need done on the right games. Ironically, Resident Evil 3had a mixed reception in its own time, so Capcom arguably made the right choice to try this with this game. Unfortunately, the risk with this type of game is large and it doesn't always work out, and it didn't here. Most fans thought this was a solid, but not great, game... but a pretty bad remake. I guess the remakes of Final Fantasy VII fall under this as well, and similarly, you see mixed reception to it. Perhaps the better game to gamble this type of remake with would have been Final Fantasy VIII.
Lastly, you have what is sort of the "in-between". Resident Evil 2 (2019) is an example of this, and it infamously called itself a "reimagining". It wasn't a 1:1 improvement remake like the original Resident Evil remake was, and it did translate the old formula to a new one (and this was a success in my opinion), but unlike Resident Evil 3, it didn't take as many liberties with changes.
That being said, here's what I'd like to see remade.
Final Fantasy IX. A remake of Final Fantasy IX alone, if done well, would set me for life (okay, maybe a slight exaggeration... maybe...). The "type" of remake I'd like to see would be akin to the type resident Evil or Resident Evil 2 was, not the type Resident Evil 3 was. Something that translates the old pre-rendered backgrounds and 2D characters into fully modern 3D worlds and with voice acting, but if it otherwise keeps the content of the game (story, characters, world, etc.) intact, and only makes minimal changes like Resident Evil 2 did, then it'd be the best type of remake of it. While it only presents a limited amount of the game, I'll use the Memoria Project as an example of what I'd basically like to see.
Besides that, here's a "hypothetical wish list" because I realize not all of these games
need remakes, but I'd like to see these anyway. This is in no particular order.
Final Fantasy IV
Final Fantasy VI
Final Fantasy VIII
Final Fantasy X
Dino Crisis
Dine Crisis 2
Dragon Quest VIII
Resident Evil (in the style the remakes of 2 and 3 were done)
Resident Evil 2 and 3 (in the style the original remake was done, so borderline an "all out remaster")
Silent Hill 3 and 4 (now that we know 2 is being remade and it looks fantastic so far in my opinion)
Pretty sure I'm forgetting some others, so I'm sure I'll edit them in at some point later...
The pixel remasters for Final Fantasy IV and VI are great, but they are remasters, not remakes. Final Fantasy X needs a remake the least, but I wouldn't mind it either.
You may notice a consistency in the age range of these games, and there's probably two reasons for that.
The first is that these games were from my formative years, so I have fond memories of them, and later games in the series/genres shifted away from these types of games. There's definitely things about newer titles I like, but there's also things I don't like, and things from the older titles that I miss.
The other reason is that I think this era of games in particular (the PlayStation/PlayStation 2 era, roughly), is where the games that "most deserve" remakes come from. Here's why. Games older than this are usually fine enough with remasters (exceptions apply, of course), and newer ones usually don't need it. Seeing Dead Space get remade, while it was good, got a bit of a "does that already need it" response from me. Between the really old and the more recent, you have that era were there were more games with pre-rendered backgrounds, or very low resolution 4:3, and they just didn't age well once widescreen and high resolution displays entered the market. The remakes for Resident Evil 2 and Resident Evil 4 showed the potential that era of games has to translate their content intact, and mostly unchanged, to modern formulas with newer visuals and features. And the result is wonderful. I'm pretty sure even the old skateboarding games (Tony Hawk?) from that time were also remade to great success, weren't they?
Capcom proved it. Now Konami, Square Enix, and others... it's your turn to show more of what you've got.