Let me preface this with telling you that I have zero nostalgia for the Amiga original. (Considering the original levels can be unlocked (and come with the original music, too) nostalgia could do for you what the game did not do on it's own for me.)
Simply put, even back then, it just wasn't all that amazing if you had access to machines from SEGA or Nintendo. After all, Superfrog is pretty much like a mix of gameplay ideas from Sonic and Mario. The problem is, Team 17 never really figured out why Mario or Sonic worked as games in the first place.
Well, actually, that is one of many problems - but considering that even here on Steam you now have access to some of the best 16 Bit games thanks to Mega Drive / Genesis-Emulation, a vast amount of decent to very good indie-platformers AND modern stuff with exceptional production-values like Rayman Origins makes it really hard to recommend Superfrog HD to anyone but the most diehard 2D-platformer fans.
Superfrog HD suffers from a severe lack of imagination, it's terribly bland and boring in it's design. The art is borderline-terrible (looks like most of the enemies are rejects from a James Pond-title) and the worlds themselves are merely switched out tilesets (being based on really lame topics like "Circus", "Forest" or "Snow") that at times are way too cluttered making it difficult to tell what objects are in the fore- and background.
Same goes for the leveldesign which is incredibly dull and offers next to no challenge whatsoever. In fact, if controls were more responsive and the hitdetection better - there would be literally NO challenge at all. There are a few pits and instant-death spikes, as well as enemies patrolling from left to right or hovering in mid-air, hardly exciting attack-patterns. Same goes for the finalboss of each world, which is just a variation of the same (simple) battle. There isn't much happening at all otherwise. True, each new world introduces one new level-element (like moving walls that can squish you) but that is hardly interesting for anybody having played a platformer in the last 25 years.
I get what the game tried to do back then on the Amiga, bringing typical japanese console-platforming to a Homecomputer-system and all that. Homecomputers, for the most part, had very distinctly western-style platformers. But in this day and age that is not nearly enough to entertain me - in fact, I had to take breaks from Superfrog HD because I was really bored and could not take it anymore.
If anything I could see this game working as a gateway-drug to really young soon-to-be-gamers, but for anybody interested in this genre who does not have nostalgia for the Superfrog I would not recommend investing your money or your time (especially your time) since this title isn't rewarding at all. You get no sense of progression, there is no real learning curve and you basically go through the same motions over and over again until you 100% each level (or die from boredom before that).
Not happy to say this being an Amiga-fan and all, but there isn't a whole lot that is super about this frog. If anything he should have been rebranded to Flash Frog cause that is pretty much the vibe I am getting from this.