Here are some of them
Being younger I used to play sports for I like many sports very much. (like > feeling)
Now being advanced in years i enjoy books and i'm enjoying one right now. (enjoy> reading; taking an action)
Much as I like skiing i can't enjoy it for the skiing is very expensive.
Even I haven't been enjoying skiing for years i like skiing.
I wouldn't say
I haven't been liking skiing for years but do now.
I think it's ok to say
I didn't like skiing (when was young) but I do now.
(
now means not exactly right now but in the last few years, now and in the future)
For me the difference between
like and
enjoy is obvious from these examples.
Like is static verb and
shouldn't take continuous form
Enjoy is dynamic verb which takes action or not.
Of course both are related to positive feelings.
word
like has a few more meanings as well.
for example
word like sometime may be used instead of
such as but it doesn't mean
like is completely equal
such as.
