The potential release date of the PS6 has been touted for 2027, with a possible launch aligned with the seven-year cycle of the PS4.
According to Mark Cerny, PlayStation console architect, the next-gen console is just a "few years away". A recent leak from KeplerL2 suggests that 2027 is the target release year, unless any unexpected delays occur.
next-gen is just a "few years away" - Mark Cerny
A leak from YouTuber Moore's Law Is Dead also claims that Xbox is planning to deploy a new device in 2027, although the specifics of the device are unclear.
Author's summary: PS6 release expected in 2027 with Xbox planning a new device.