Yes, the following two sentences are roughly synonymous, so it would appear to be a fine translation.
I'm just like anyone else.
I am the same as all other people.
The words mean pretty much the same thing.
In practice, one or the other tends to be preferred in any given context. Like we say that a person "collects stamps" or "collects classic cars", not that he accumulates them. But we say that a person "accumulated a large sum of money" or "accumulated a pile of trash".
"Accrue" is rarely used except with the specific technical meaning that Dilip refers to: something that is due you but that you haven't yet collected. The only examples I can think of off the top of my head are interest on a deposit, as in, "Interest is accrued daily and paid monthly", and vacation time or sick time, as in, "You accrue one and a half vacation days per month worked." (You don't necessarily have to take off one and a half days every month, but you accumulate the right at that rate.) Occasionally people use it to mean "accumulate" in a more general sense, like, "He accrued experience over the course of many years", but that's pretty rare.
I'm grasping for a general rule of when to use "collect" versus "accumulate". Perhaps "collect" has the connotation of selecting individual items, while "accumulate" is used more for an amorphous quantity. You "collect a debt" but you "accumulate wealth" -- the debt is specific but the wealth is general. You "collect fine china" but you "accumulate dishes". Etc.
Best Answer
I think your question is related to Copyright and Copyleft.
The Copyright is when the material copyrighted can't be acquired with non legit media (downloading, piracy) and can't be copied, distributed in any way, unless there is an explicit permission by the owner or the company that owns those rights.
"All rights reserved" means that nobody else has those rights, except for the author/owner of those rights.
The Copyleft is a play on that and is basically the opposite, meaning that whatever has the copyleft applied can be copied, downloaded, distributed and maybe even modified, although that can be under Conditions (expressed by the author).
But in this case the expression became "All rights REVERSED" and not "reserved" to indicate the change of meaning.
If you look on Wikipedia there's more info, I just gave you the most basic ones.