I'm looking for dramas like Boys Over Flowers but without the love triangle. In other words, a drama in which the FL has three or more guys who she's friends with and no more than one of them ever becomes interested romantically in her. 

I've never seen Boys Over Flowers but Legend of Fu Yao springs to mind (and looking through it doesn't seem to be on your list). 

FL is on good terms with all the male characters (Fu Yao has a wonderful found siblings relationship with Zhan Bai Ye for example). IIRC she has strong, platonic friendships with all of ZBY, Zong Yue (an absolutely beautifully written character) and Xiao Qi (I think XQ might have a crush on her but I can't remember as it's a long time since I watched it).

No idea if this helps.

Thank you very much! I haven't seen that one and that does sound like what I'm looking for!