A bit of context: Fakt is a tabloid owned by the same company that also owns Bild Zeitung -- the biggest daily newspaper (air quotes) in Germany, and producing the same kind of journalism (air quotes).
Bild Zeitung and its owner are staunchly conservative and recently very critical of Angela Merkel (when they aren't talking about sports or tits or celebrity gossip); ie. they are positioned at or beyond the very right edge of the German conservative party -- like the government of Poland, so I'd expect them to get along just fine for the most part.
These publications combined can't match market penetration of those that are controlled by the government or owned by PiS sympathizers (e.g. Karnowscy brothers). So yeah, there are a few but that doesn't magically balance the undue influence PiS has on the messaging.
Plus: nationality of the owner is completely orthogonal to the bias publications may have. At the end of the day it's a large business and you can stay in it only if you have access to those you write about, i.e. people in power.
The moment you start leaning heavily against those in power you lose access and, as a result, relevancy. This problem exists in almost every country and isn't unique to Poland or Hungary.
RMF - biggest radio station, second biggest is owned by French capital
onet & interia - (biggest?) online portals
Fakt - biggest daily newspaper
Newsweek - biggest weekly newspaper