Grammar: a special case of omission of relative pronoun

I don’t know if one can say something like this:

This time, too, everything usual in such days has really happened.
They’ve offered us cakes traditional on this holiday.
He is a man happy everywhere.

I.e. I would like to omit ’which are,’ ’who is,’ etc. thinking the sentence is better if being shorter. My problem is that the attribute is not a simple adjective but with some addition. So I’m talking about an everywhere-happy man, so to say. About such kind of cakes which are the traditional, special elements of this feast. And of course, about things which are the feature of this kind of days.