On NRK (the public broadcaster) and most watched channel in Norway:
Rima Iraki and Yamal Wolasmal are two of the six main news anchors on NRK (the most watched daily Norwegian news broadcast).
Lars Nehru Sand is one of two permanent political analyst focusing on Norwegian politics in NRK. Often on news broadcast on both TV and radio when news around Norwegian politics are discussed.
Fredrik Solvang used to be one of the host for NRKs daily radio/TV news and debate shows (Dax18), and is now the host of Norway's only prime time debate show (Debatten), which will host party leaders and government ministers regularly.
Johan Golden is a comedian and permanent panel member on NRKs news comedy show (Nytt på nytt, a Norwegian version of "Have I got news for you"). The show is one of Norway's most popular weekly shows and has on average more than one million viewers (1/5 of Norways population). The show is so popular that sitting ministers appear on the show. Last week the justice minister was on.
In national politics:
Abid Raja is the minister of culture in the current government and member of the liberal party (venstre). Known for pissing off the right wing Progress party (Fremskritspartiet), even though they were in a joint coalition government up until very recently.
Hadia Tajik is the deputy leader of the Norwegian Labour party (Arbeiderpartiet, Norway's largest political party), Picked out by the of former prime minister and current NATO leader Jens Stoltenberg to become a future leader of the party. Appears frequently on news and debate shows as one of the main voices in opposition to the current government.
Lan Marie Berg is the co-leader of the Norwegian Green party (Miljøpartiet de grønne) and on the Oslo's city council in charge of transport and environment (currently on leave until summer 2020).
These are just the most prominent national politicians there are many more in local politics.
Others worth mentioning:
Mah-Rukh Ali is a former news anchor for NRK and the commercial TV channel TV2. She was the first national news anchor with a minority background on NRK. She's currently the communications director for the NGO: Care Norway.
While Leo Ajkic might not be considered a POC he's absolutely worth mentioning as a minority TV personality and documentary maker.
Karpe is a duo consisting of Chirag Rashmikant Patel and Magdi Omar Ytreeide Abdelmaguid. They are arguably one of the most popular Norwegian music acts in Norway, and definitely the one with the most sustained popularity over the last 20 years (I don't think anyone else is close here).
There are many more, and I'm sure posters in the other Nordic countries can post their own situation.