1. Looking forward to the day done
day不是do的宾语,
应该改成
I am looking forward to the day when I can do it.
2. The anticipation can do that day
anticipation不是do的主语
应该改成
It's my anticipation that I can do it some day.
3. Expect to be able to accomplish that day.
expect to be ... 没有宾语,day不是accomplish的宾语
应该改成
I expect the day when I am able to accomplish it.
4. Looking forward to the day can be done.
错误同第一句
应该改成
I am looking forward to the day when it can be done.