The starfox series has encountered more hiccups than any other Nintendo franchise. With only one really good game in the franchise, the series is a bit of a hot mess.

That being said, besides Starfox 64, which starfox game strikes your fancy? 

For me, it is command. Command's controls were very polarizing, but I liked them quite a bit. It's also the only one with online multiplayer, which was actually very fun. The story was cheesy, but all the alternate endings made for some great replay value.

Star Fox adventures was a good game
Star Fox Assault was bad imo
Never played Command
Never played the original

Nintendo really needs to make a sequel to 64, I wish Retro was working on one.

How many Star Fox's were there?

Mobile Suit Gundam Encounters in Space, Omega Boost, or Zone of Enders 2.

Metroid Prime 1-3 -> Metroid Other M
Banjo Kazooie/Tooie -> Nuts and Bolts
Pokemon D/P -> B/W (maybe just me)
Mario Kart DS -> Mario Kart 7
Paper Mario 2 -> Sticker Star
DKC3 -> DKCR
Starcraft -> Starcraft 2

Just the first level of Star Fox Assault.

Opposite for me. I have an intense hatred for remixes.  I'd rather it was a failed new composition than that. 

Starcraft was memorable -> ambient in the fine tradition of recent Western PC games.

I d agree with you on SF -> SF64, but I still liked some tracks from 64 (Starwolf). I like very little of anything Nintendo's done in the last five years except Xenoblade. Then again, everyone and their dog disagrees with me that Galaxy 2 < Galaxy soundtrack wise.

How about just the first mission in Star Fox Assult, can I just pick that?

Here is the problem with the Star Fox series. Each game has been developed by someone different.

The first was a co-development project between Argonaut, who handled the technical programming (because Nintendo was as yet unfamiliar with 3D development), and Nintendo handled the story, music and game design. Star Fox 64 was entirely an in-house Nintendo affair, which to me is why it was so much better than the original. Adventures was not a SF game to begin with, Nintendo had Rare slap SF characters in it because they thought it would make Dinosaur Planet sell better. But with the exception of a couple of half-assed space levels, the game was just Dinosaur Planet. Not a bad game, but NOT Star Fox. Assault was a sick-joke, and that was entirely on Nintendo for allowing Namco to develop it. I was so stoked for that game, and then it came out and was one of the worst games I've ever played. It's literally the only game I've ever played where the first two levels were very-near-amazing, and the rest of the game was one, long, painful, soul-crushing experience in disappointment.

As for Command, on paper it wasn't a BAD idea, but in practice controlling the Arwing with the touch screen was a HORRIBLE idea. The moral of the story, ultimately, is that there are some franchises you can get away with "experimenting", such as Mario, and then there are some in which you really just can't, such as Star Fox. There are some franchises where the phrase "If it ain't broke, don't fucking try to fix it" rings true.

The reason every "Star Fox" game since SF64 hasn't been all that good, is because none of them since have really BEEN Star Fox. So hopefully, if they (god willing) give it another go-round on Wii U, in HD, they learn their lesson, and just make a STAR FOX type game. It's totally okay in this day and age to still make a game that JUST consists of space shooter levels, with perhaps a couple tank/submarine levels thrown in to mix it up. Star Fox was good BECAUSE it was a 3D on-rails arcade style shooter. Mess with that, and you mess with what made the game/franchise awesome in the first place.

It's not the track I have the problem with, it's the waste of a musician's time doing it. Like you put Kenji Yamamoto on DKCR and three years later he's done what anyone with a piano and a computer could do in recreating the DKC soundtrack. I value the melody of a track far more than its implementation.

To your question: Sometimes remixes can be better, sometimes they can be the real version of the track for me, yes. But I'd just rather they didn't 99% of the time. I do go and find the original mostly.

I have found out certain tracks are remixes and never listened to them again. It's probably irrational at this point.