Here is a list of upcoming PSN games which will probably get updated more than this OP.
April 1st Mercenary Kings (Free with PS+)
April 1st King Oddball
April 8th Daylight
April 8th Strike Suit Zero (
April 14th Final Fantasy XIV
April 16th Trials Fusion
April 30th Child of Light
April 1st Ragnarok Oddysey Ace
April 1st Chicken!Chicken! (PSM)
April 1st Squirrel Run (PSM)
April 1st BLAST Ninja (PSM)
April 15th Conception II: Children of the Seven Stars
April 22nd Demon Gaze
April 1st Ragnarok Oddysey Ace
April 1st Batman: Arkham Origins Blackgate Deluxe Edition
April 8th RBI Baseball
April 29th Raiden IV: Overkill
April 30th Child of Light
EU
Mercenary Kings (PS4)
Pro Evolution Soccer 2014 (PS3)
Sly Cooper: Thieves in Time (PS3/Vita)
Hotline Miami (PS3/Vita)
Moto GP 13 (Vita)
NA
This are released weekly, we do not know the order
Mercenary Kings (PS4)
Batman: Arkham City (PS3)
Stealth Inc. (PS3/Vita)
Velocity Ultra (Vita)
Castle of Illusion (PS3)
PixelJunk Monsters Ultimate HD (Vita)
PlayStation Plus Thread
Wall of Shame.