For our mini game console we decided to use 4 normal push buttons but add a 3D printed cap on top of it. Actually mostly designed by my son himself. The holes are 6 times 2.54mm (0.6 inch appart).

We use the Tactile Push Button Switch Tact Switch 6X6X13mm 4-pin DIP from banggood but this should fit to other similar buttons as well.