UPDATE: Capcom have confirmed that not only Dead Rising 1 is getting remastered but so are Dead Rising 2 and Off the Record. These will be available on Xbox One, PS4, and PC.
Dead Rising 1, arguably the best in the series, could be getting a remastered version on PS4.
According to PlayStation Trophy website Exophase, Dead Rising 1 will be coming to PS4. The trophies listed there are for a PS4 version. Interestingly the first Dead Rising was never ported since its 360 release. Fans all over till this day claim it as one of the best games on the hardware.
Personally I do hope it gets ported. The game has a certain sense of charm that none of the other titles were able to replicate.