In 2004, the Max Payne rights were sold to Take-Two. Max Payne 3 primarily developed by Rockstar Vancouver. Remedy, as per request by Rockstar, does provide their input to the new devs about Max Payne 3 and are involved in testing the new game.
Creating Max Payne
The goals established by the studio were: bringing to life a new, compelling and rich character, and pushing the innovation of shooter genre gameplay with the implementation of bullet time. Due to budget constraints, the company could not afford to hire models for characters, including the protagonist Max Payne, therefore Sam Lake and other developers had to step forward and be those whose likeness would be used in the game.
They are not directly involved in the development of Max Payne 3, though they do give their feedback to Rockstar.
After Max Payne
In 2010, Remedy shipped the psychological action thriller Alan Wake for Xbox 360. A version for the PC came out in February of 2012.
A spinoff, Alan Wake's American Nightmare, was released February 22nd, 2012 for PC and Xbox 360.
The most recent Remedy game is Quantum Break for PC and Xbox One. It was released on April 5th, 2016.