Tobiflex's design is only suitable as is, for Altera boards with a similar SDRAM and SD Card.
The top level is done with schematics which does not port so simply to another toolchain.
The Nios II Embedded Evaluation Kit would seem suitable but YMMV.
I notice that board has synchronous SRAM and you need a two board set to do any real work. I also wonder if there would be any free FPGA pins left to do the Joysticks and extra PS/2.
All the best.