From my experience most decent VLB graphics cards will handle 60/66MHz, but only if the motherboard supports them to the required level.
What i mean here is that the motherboards are the bigger factor by far.
Unfortunately this area is not studied well enough to draw definitive conclusions.
From what i saw:
The most predictable/stable card is Diamond Stealth 64 DRAM, but keep in mind that i deliberately ignored the Vision series as its predecessors. There is a good chance some of them exhibit similar qualities. Also, there are newly made Trui64+ cards that should also handle 60/66 (tbd soon).
Cards based on CL GD-5434 and 5428/9, Western Digital WD90C33-ZZ, Trident TGUI9440* are also great options.
Ark1000VL is more picky.
Then is everything else.
About motherboards:
There is a vast array of classic 486 ISA/VLB motherboards.
SiS 82C471 based ones are the better place.
Few specific models are great at 60/66.
Some UM8881 based models such as M919 are good options as well.
(Keep in mind that M919 does not handle 3x66)
Some late VIA based models are pretty much hustle free, but a bit slower than the rest.
There is a large array of classic ISA/VLB 486 motherboards.
I don't think it is possible to inspect all of them, unless big investment of time and money is involved.
So there is a good chance there are hidden gems out there that wait to be discovered.
So in short - If you want 60/66MHz VLB system - make sure you have the right mobo.
Good chance your decent graphics card of choice will be happy with that.