Had a friend ask me something similar recently, and I had to think hard. A lot of stories that get tagged 'yandere' tend to flatten the character into just the obsessive, violent traits. What makes a yandere kun feel like a complex antihero, for me, is when the narrative genuinely explores the 'why' behind the obsession, and gives him motivations beyond just possessing the love interest. Something like Kamishiro Rize from 'Kamisama no Iutoori'? Not exactly a romance, but his god-complex and warped affection have these terrifying layers tied to existential boredom and a search for meaning. More in the romance sphere, 'Killing Stalking' is obviously a massive trigger warning for everything, but Sangwoo is crafted in a way that you get these horrific glimpses into the abuse that shaped him, making him a monster you almost understand, which is deeply uncomfortable. That complexity, where you're repulsed but also shown the broken mechanism, that's the antihero element. It's not about redemption, it's about comprehension.
Honestly, most mainstream stuff doesn't go there. It's either played for dark comedy or pure horror. The real complexity seems to emerge more in psychological thrillers or darker seinen/josei manga where the narrative isn't afraid to sit in the gray area without offering a clean moral takeaway. 'Dragonfly' by Cheon Myeong-kwan has a character with yandere-adjacent traits, but framed within a much larger, tragic societal commentary, which lifts it beyond the trope.