Ablative -den -dan

bıkmak -> to get bored by or with

hoşlanmak -> to like

huylanmak -> to suspect

iğrenmek -> to feel disgust

kaynaklanmak -> to source

korkmak -> to fear

nefret etmek -> to hate

usanmak -> to get bored

vazgeçmek -> to evacuate, to leave

Source: http://learnturkish.pgeorgalas.gr/PtoseisSetEn.asp 

That one is surprising. I thought it would be (y)i or (y)e. 

´´Nefret etmek´´ takes strictly ablative case. But yes,for the foreigners it is a bit surprising 

It is surprising, just like hoşlanmak. 

The way I remember that hoşlanmak is ablative is one meaning is

- to enjoy, to take pleasure "from" something