which tense should be used after "I hope..."

[AliAbd]

If Iam not wrong all these forms are used while hope indicate the future

I hope he does sth
I hope he will do sth
I hope I have done sth

is it correct ?which of them is the most appropriate?

[Barb_D]

You can use any of them, depending on what you mean.

I hope (just now, in the recent past) I didn't offend you.
I hope (looking back on my past actions) I haven't screwed this up.
I hope (right now) she likes the proposal I just made.
I hope (tomorrow) that the weather will be nice.
I hope (in the indefinite future) my children will make good choices.