It's not that hard to compile a list of top 5 or top 10 pcb manufacturers and check their offerings, as they'll quote you prices depending on what options you pick. Do your homework.
2-3 most popular colors will usually be cheaper, as they can bundle multiple projects / designs on a large panel of that color and do bigger batches.
For less common colors, they'll have to wait more time to have enough circuit board projects to not waste pcb, or they'll just waste pcb and charge you more for that.
For example, JLCPCB doesn't charge extra, but for all pcb colors other than green, they add 2 days to processing time, which is probably enough for them to gather enough boards.