As of today, Saints Row: The Third - Remastered is available on Steam and GoG!
Unlike the Epic Games Store version of the game, the Steam and GoG versions have achievements.
On Steam the remaster costs 40€ but is currently 40% off until the 28th of May, and even further discounted if you buy the 3rd Street Saints Bundle that includes the remaster, the original game, and its DLC.
So even if you already own the original game and DLC, you can still get the remaster for much cheaper through that bundle that will be available until June 21st.
Furthermore, the rest of the Saints Row franchise is also currently on sale at 73% off!
On GoG the remaster costs 40€ and is also 40% off to new players, and 65% off to players who already own the original game on GoG