Dunno bout cringy I'm afraid, literally find most skl ones cringy...
THE *Are my favourites:
To the beautiful you
*Put your head on my shoulder or Love o2o!! think these are skl... MUST WATCH
My Little Princess
*Meteor Garden/ BOF, whatever floats ur boat
Le Coup de Foudre
Moment at Eighteen
Age of Rebellion- ngl, dark but somehow sweet
Dream High- Never watched but prob fit
Moorim High School- Never watched but prob fit
Heartstrings- YAS YAS YAS YAS!!
*Love Alarm - NEED SEASON 2 ASAP PLEASE!!
*Sweet Revenge 1/2
The Heirs
Monstar
There's loads out there... mebbe someone else has more ideas?