Super Adventure Island is the third game in the series.
Story:
The story is quite simple: You're Master Higgins and you and your girlfriend are sunbathing and then your girlfriend gets kidnapped by a monster.
Gameplay:
You walk from the left to the right, collect hammers or boomerangs to hit and beat your enemies. That's almost everything you do. A few times you can ride on a skateboard but just to get faster through the level. There's also no password or save function in the game (of course you can use F2 to save; I did it) when you lose all your lives and continues then you have to do everything from the very beginning. That's the reason why the game is so hard. The fights are also easy because the enemies are beaten with one hit and the boss fights are simple.
Graphic/Level:
The graphic itself is very good, the characters are well designed but the background and the levels themselves are just boring. You've got some nice beach levels but nothing exciting.
Sound:
In the first few levels the sound is just normal, nothing special but also nothing really bad. Later the sound gets better and matches well with the last levels.
Conclusion:
Super Adventure Island is a simple jump'n'run with nothing special as far as the gameplay goes, good animations but boring levels and a hard difficulty and a non existent story. A game you don't have to play.

This game sounds like your very average platformer. I'm not sure if it's really worth a try then.