His plays were immensely popular with "ordinary Brits" though, so I do think there was something they could connect with. Even if they didn't interact with black people, they'd interact with people other "races" fairly often -- be they Irish, Greek, Arab, or whatever. And they were certainly willing to be highly prejudiced against those groups -- some of whom are known to be "swarthier" than the inhabitants of the UK.

It's a vastly different interaction with race than the modern day one, of course. Othello is as much about Othello being from a population that tends to be Muslim as it is about his having dark skin or African features. That's not as present a concern with modern day racism (although it does still crop up a bit).

I don't think your point is entirely unfair, but I do think it's overstated and a bit too focused on racism being against Africans specifically -- people of color is a broader term and was the one OP was using. Also, the current trend is to view racism as something that doesn't need to be intentional -- evaluated on it's impact instead of it's intent, I think it's easy to say the phrase "lily white skin" being an ideal of beauty is a definition that inherently leaves some races out. Unfortunately, the current trend also seems to be to view these instances of unintentional racism as as evil as targeted and malicious racism. Which is, frankly, crazy. We should be able to recognize something as harmful and learn to avoid it in the future without needing to assign malice to actions that had none.