Same here, but only sometimes...
If I get attached to one of the characters, for example Twelve from Zankyou no Terror, I get pretty jealous (lmao) if I see a girl in the anime that's all over him, just like Lisa and Twelve (well, she's not all over him, but...).
I really loved Erased (boku dake ga inai machi) with all the romance, even though it wasn't even tagged as romance (since it wasn't that much). I binged watched the whole anime in one night, it was amazing.
But animes with romance... Kaichou wa maid-sama's cute, ReLIFE is cute, but preeeetty boring after a while, and while I wouldn't count Mirai Nikki as romance... I guess it is. I liked that one as well.