Azumanga Daioh and Chromartie High School probably.
The most unintentionally funny anime I can think of, I can't remember the name to! It was about some overly shy girl who was in love with some popular guy, but was afraid to say anything. Then she finally tells him, and he likes her to and they end up dating. So, she has had her dream come true, shes dating her true love, here comes the funny part.
She gets hit by a car a put into acoma for 3 years. HAHAHA
Then when she finally wakes up out of the coma, the guy she was in love with was getting married to HER BEST FRIEND
It was all trying to be so serious, but man, I laughed my ass off, she has like the worst luck ever…
My friend who was watching it with me was like “thats so sad it makes me want to cry” but I couldnt stop laughing….
Oh yeah, it's called Kimi ga Nozomu Ein and you're right that was pretty funny.
Excel Saga was great, especially the last episode. Dragon Half and Haunted Junction were funny too. So was Ranma 1/2 but only the second season IMO. FLCL is the best!