The best thing about remakes, when they're done well, is the fully revamped take on the music.
The best remake I've played so far is the Pokemon Soulsilver remake on the DS. It literally is Gold/Silver 100% remade, music turned up to 11, updated to DS level Pokemon graphics/colors, with the updates to Pokemon's battle system and moveset list brought along for the ride.
In my experience, most remakes are really bad. Especially if the studio is run by different people or a different studio is taking over the project. They either change it just enough to ruin it, or change it so radically that all it's really carrying is the name. /glares at Lufia: Curse of the Sinistrals.
Remasters are usually just the same exact game, just dolled up. They can be nice, because they give QoL improvements or fix bugs that made certain features inaccessible the first time around. Other than that, they're a waste of money.
Best remaster I've gotten is Dark Souls Remastered. Specifically the Switch edition, because it's portable *** Dark Souls lol.
As far as emulation goes, it's come a long way. My laptop from 2013 is capable of emulating Gamecube games, so I imagine if I want to on my desktop, I can probably emulate PS2/Xbox as well, if there's emulation for those out there. I don't have as much nostalgia that I'm missing from that gen, as I still have those consoles, and they still function 100%. (Well, my PS2 is borked, but all the PS RPGs that I really care about were from PS1 anyway).
Last time I emulated Gamecube, I was emulating Japanese Path of Radiance so I could play Maniac Mode. The hardest thing about it was that I couldn't read Japanese, so I had to turn on my actual Gamecube and look at the menus in English and then back to the menus, as all of the menu options are in the same position, at least lol.