Have they started remaking 2000s films yet?

Does The Incredible Hulk count? A reboot after Ang Lee's (IMO superior) 2003 movie Hulk.

The Departed is a remake of the Hong Kong movie Infernal Affairs from 2002.

Wasn't The Haunted Mansion supposed to have been remade? It's the movie based on the Disneyland ride of the same name, and it starred Eddie Murphy, although I don't currently know if a sequel ever got made yet.

Le Samouraï, 1967
https://www.youtube.com/watch?v=eJvARzmEprU