I meant have, sorry :)
If your game was for a 500, it would have been fine on all other 500s if timed to vertical refresh.
Not strictly true, infact a long way from it. The presence of a memory upgrade made a huge difference to an Amiga's performance, it added nearly 50% again to the raw speed. In modern PC terms this was because the computer, as standard, used the graphics cards memory as RAM until you put extra RAM in which was on a seperate bus, thus enabling concurrent read/write activity to each bus and dramatically increasing system performance. Memory upgrades where extremely common but not universal.
With 3 base Amiga chipsets on the home user machines A500 / A500+ or A600 / A1200 all yielding different performance and graphics capabilities the addition of RAM expansions, or as they where then called FastRAM, made for 6 basic configs.
Add to this that most RAM expansion cards in later years also included an FPU (floating point unit for faster float calculations) of varying clock speeds and specification (68881 and 688882 chips if memory serves) and what you've got is a completely non-standard base.
The Amiga is perhaps an extreme example as it was around for a very long time, but the same diversification of hardware effects modern console platforms - the only differences being they are not around long enough to achieve wider diversification and to some extent "upgraded" consoles are sold as new systems: PS; PS2; PS2 Slim; PSP; PS3 etc etc etc.
Taking Playstation as an example, whilst there are no expansions which directly effect speed at this time for that particular platform (other than getting an "upgraded edition", there is still a wide diversity of hardware to support such as varied controller configurations, different memory card sizes, buzz controllers, wheels, rumble packs, 4 way adapters (A favored oversight of AAA games) and nowadays broadband speeds added to the mix too.
I just do not believe there has ever been such a thing as standardised hardware since the 8bit era washed away the Binatones and Atari's.