Capcom today announced that Resident Evil 4, 5, and 6 will be coming to Xbox One and PlayStation 4 over the course of 2016. The first title to make the transition is Resident Evil 6 on March 29 for $19.99, a price point that will be shared by all three games. Capcom seems to be moving in reverse order though, as Resident Evil 5 is coming in the Summer, while Resident Evil 4 will see a Fall release.
Capcom has already released remakes of Resident Evil and Resident Evil 0. The company has also already announced Resident Evil 2, another remake built "from the ground up". That leaves only a few main titles left in the series: Resident Evil 3: Nemesis and Resident Evil: Code Veronica.
If I were a betting man, I'd figure that RE3 will likely get the REmake treatment, but Code Veronica I'm not completely sure on yet. That title was left out of the Resident Evil 6 Anthology released back in 2012 for the PlayStation 3, which included RE: Director's Cut, RE2, RE3: Nemesis, RE4 HD, RE 5 Gold Edition, and RE6. Oddly enough, Code Veronica X HD was included in the Xbox 360's Resident Evil 6 Archives, which only had that title, RE 4 HD, RE 5 Gold Edition, and RE 6.
The full remake process is more difficult than what Capcom will have to go through for Resident Evil 4, 5, and 6, all of which already have high fidelity assets and versions available on PC. I'd hope Capcom would eventually get to both Resident Evil 3 and Code Veronica, but that's not a given. even then, you're talking 2017 and beyond for those titles.
Resident Evil's 20th anniversary is happening in 2016, beginning on March 22, 2016. Most of these titles are probably to keep Resident Evil on players minds as Capcom continues work on the next Resident Evil.