Irony is also an element of humor in Japanese. However, this requires quite a mastery of the language and culture, that simply translating a ironic comment into Japanese has never been funny, AFAIK. You are correct to be careful when making such comments. It needs a lot of exploration into the different meanings of each term and expression.
Huh, that is definitely interesting. Thanks for that info! I'm not sure I've ever seen it mentioned directly, but after reading a couple different articles and books about Japanese culture, it seems to me that the Japanese entertain themselves with world play and riddles. Is there much truth to that? I've also noticed some short scenes in anime where they make mention of TV gameshows that are based on wordplay or trivia of that nature.
At least from the sound of it, I'll need to train myself at a very, very advanced level to understand that sort of humor, and even then, I can't be sure.
One more thing, if you'll bear with me!

Could you explain sarcasm to me a bit? I know that old culture books and anime aren't fair places to try and learn about that sort of thing, but it seems to me that extremity and sarcasm do exist, but only among really really good friends. If that is so, then could you give me just a really rough idea as to how close you'd need to be with someone before talking to them sarcastically and such?
This has been a growing concern for me since I really don't want to offend anyone. The problem is, it sort of comes naturally to me, so here in the west, people think I'm hilarious when half the time I'm saying things without any intention of being funny.