extensive, massive, rich, vast
historical
data, film, news, newspaper, photo, photographic, sound
The recordings are preserved in the museum's sound archives.

digital, electronic, online
searchable
email, Internet, Web
county (esp. BrE), family, local, national, personal, private, public, state

build, build up, create, set up
We are collecting documents to build up an archive.

house, keep, maintain
the person responsible for keeping the archives
the building which houses the state archives

open
There were ambitious plans to open the archives to the public.

access
check, consult, examine, look through, search

contain sth, hold sth, include sth

collection
film (esp. BrE), footage
archive footage of the victory celebrations

material
file, page (both computing)

among the archives
There are many clues hidden among the archives of the local museum.

from an/the archive
some photographs from the library's archives

in an/the archive
No record of this letter exists in the archives.
The data is now held in the company archives.

Archive is used with these nouns as the object:
email