Now just the sight of a burger makes me sick.
→  이제 햄버거라면 지긋지긋해.

[예문]
A:How was your business trip to Philippines?
 필리핀출장은 어땠어?

B:The biggest problem was the food.
  I didn't like anything there.
  아무것도 먹지못하고 먹는게 가장큰문제였어.

A:There's always fast food.
거기에 패스트푸드점있잖아

B:For a while, I only had hurgers and Coke.
 Now just the sight of a burger makes me sick.
  한동안 거의 햄버거랑 콜라로 끼니를 때웠더니 햄버거라면 지긋지긋해.

 *make one sick. :지긋지긋하다.