I like 緑茶 (Ryokku-cha, green tea) and 煎茶 (Zen-cha, I think it is green tea + some Maccha). I love 抹茶 (Maccha, powdered green tea) too. I also enjoy 抹茶 icecream, sweets, Starbucks Frappichino etc.
I'm not a fan of the Japanese brown tea made of wheat or something like that.
(I brought a load of these back from me from a Japanese supermarket in HK, I forgot to bring any back from Japan... d'oh)
I like various Chinese teas too. Jasmine, Oolong, Iron Buddha and the 菊花茶 one you mentioned, good for the health.
I don't like that tea they have in HK that is like English tea, far too strong.
I've tried Taiwanese green tea with milk and sugar, not my cup of tea.
For western stuff I like Earl Grey, Chai and I got a great Assam from Harrods called Knightsbridge blend. I'm not usually a fan of Assam, its too strong for me. I don't like English Breakfast much either.
Yay tea!