Ha, that was quick! I'm guessing you used a guide? (Which is understandable given how frustrating some of the puzzles in MI2 are -- spit contest, monkey as a wrench, etc.)
If you're going to move onto Curse of Monkey Island next you'll have yourself a lovely time, as the puzzles are more rounded, the interface is more polished, it's just an all round great experience. Arguably LucasArts's best... or damned close to.
One tip: Unlike MI2, I would recommend playing the lower difficulty first and then moving on to "Mega Monkey" mode afterwards. Why? Simply because unlike MI2 you the lower difficulty is basically "normal" mode, not "easy" mode: You don't miss any story or locations, and there's a bunch of great puzzles that are worth playing through. It's basically a normal LucasArts adventure game with great puzzles (you shouldn't really need a guide, or least need one less).
Then when you complete it you get the additional bonus of playing it again with more difficult puzzles (presuming you enjoyed it the first time). Two games for the price of one!
Of course maybe you fancy exploring another world next: Day of the Tentacle, Full Throttle and Grim Fandango are all excellent choices (and I'd probably recommend them in that order, simply because they get more technically impressive as they continue).