direct, easy, free, full, good, ready, unfettered, unlimited, unrestricted
Students have easy access to libraries.

limited, poor, restricted
Access to this information is severely restricted.

unauthorized
greater, improved
fast, immediate, instant, quick, rapid
secure
equal
Men and women should have equal access to education and employment.

universal
universal access to education

public
vehicle, vehicular (BrE), wheelchair
broadband, dial-up, Internet, network, remote, Wi-Fi, wireless
high-speed Internet access

have
gain, get
give (sb), offer (sb), provide (sb with)
The computer provides access to all the information.

demand, require, seek, want
control
allow (sb), grant (sb)
block, deny sb, limit, prevent, refuse (sb), restrict
Some people are being denied access to adequate medical care.

point
road, route
code
course (= helping people without qualifications to study)

access for
improved access for disabled visitors

access to
He was finally granted access to the medical records.

Access is used with these nouns as the object:
account, application, archive, computer, content, data, database, email, file, information, Internet, menu, network, page, record, resource, service, site, web, website