The standard phrase would be "reads" the news - the job is a "newsreader". "Presents the news" is also standard usage.. If it is a journalist doing a live broadcast from somewhere - "report" would be the best term. "Says" or "speaks" the news would be wrong, however - it's only a literal translation.
(This applies to British English, incidentally - I don't know if it might be different in the US.)
Lyazko, now it's my turn to not be clear on something. Where did I show "strong feelings" by simply answering your question, "What would be a news anchor?" (since δημοσιογράφος is really just "journalist" or "reporter"? And who "voted you down"? Where? Surely not me. Best wishes! -- Paul