" I've died every day waiting for you " The word everyday considered as unfinished Time period ? I mean we could use it with present pefrect ?
You might have considered cried for your example, since logically it's not possible to die repeatedly. But as regards using present perfect - that's fine, provided that past state is directly relevant to "time of speaking" (even if it's only relevant because you're contrasting that past unhappiness with present joy).
I've gone there every week and still have not met him. [the week is not over]
I've died every day waiting for you. [the day is not over]
Spoken in a present time, the time periods week and day have still not ended when the sentences are uttered.
Compare the present perfect to the present, used to express a generality:
I go there every week and still have not met him.
I die every day waiting for you.
To emphasize the repeated nature of the situation in the past and present, the present perfect is used.