If you are looking for the "Horizon experience" on a PlayStation console, you have several legitimate modern options:
In a historic shift, Forza Horizon 5 was released for the PlayStation 5 on April 29, 2025.
If you are restricted to PS3 hardware, the following open-world racers offer a similar feel to Forza:
Porting a game from the Xbox 360's PowerPC architecture to the PS3's unique Cell Broadband Engine was a complex technical feat that was never undertaken for this franchise.