The DSi version specifically has a huge knockback issue which results in Rayman being pushed back much more than intended, so it can be way harder despite the extra health points.
Advance tends to be considered easier, with 1 extra HP and some adjustments to cage placement, but IMO the zoomed-in screen makes it even more difficult and some platforms/mechanics are kind of broken so you can't reach a few extra lives.
Redemption is really the way to go if Rayman 1 is too hard for you, the difficulty curve is near perfect with only the final challenges or some bonus stages being very hard.
...Otherwise there's Rayman Ultimate on Pocket PC which gives you an absurd amount of HPs but good luck getting this one and making it work on a modern device!