Irish food is really good, though I haven't had too many different dishes. Corned Beef & Cabbage is really good (My mom makes it every year on St. Patty's Day) as is Soda Bread, though the few times I make it, I don't put raisins in like other people might. Corned Beef is probably what's most popular state-side though. It's even better the next day on a sammich. XD
IMO, the best way to try any type of new cuisine is to find a recipe that -you- think looks good and make it yourself. That way you know what all goes in it and if there's a particular herb or ingredient you don't particularly like, you can use less or leave it out. I got adventurous enough to make Coq Au Vin once (I used Hubert Keller's recipe:
Maine Lobster Macaroni and Cheese ?Au Gratin? ? Recipes ? Hubert Keller )... There's a lot of steps and it's a lot of work, but it turned out really good.
Cooking-wise, Mexican (yesh, I cook authentic ish) is my go-to.. It's cheap and easy... Unless you get into making tamales (which I did one night. It's not hard - getting the dough right is the biggest challenge, but assembling the damn things take -forever-. Never again) and the way I cook it, it's a lot healthier than what you'd find in a restaurant. Pati Jinich has a lot of good recipes on her website. But I love Mexican in general, and Italian, though I try to stay away from pastas and stuff now. But I like Chinese, Japanese, & Southern (yes, it -is- a type of cuisine)... Fried cube steak, Ham, Pinto Beans, & Corn Bread, baked mac & cheeze, fried chikkin... Mmmmmmm. yummeh. lulz.
EDIT:
Ignore the title of the link. It really does take you to the recipe for Coq Au Vin.
Also, Julia Child is kind of the Final Word on French Cooking. If you have a smartphone, go to tuebl.ca and just search "Cooking" - there's several of her cookbooks on there. They're all epub files and free to download. If you have an Android phone, MoonReader works best for viewing epub files and iPhone/iPad, I've been told Stanza works well.