daily, weekly (esp. AmE)
local (esp. AmE), national (esp. BrE)
popular
supermarket (AmE)

read

format
journalism, magazine (AmE), newspaper, press
He believes that the tabloid press has behaved disgracefully.

headlines, report, story
editor, journalist, reporter
television, TV (esp. AmE)

in a/the tabloid
You shouldn't believe everything you read in the tabloids.

Tabloid is used with these nouns:
editor, gossip, headline, hysteria, journalism, journalist, newspaper, paper, press, reader, reporter