As in, some of those accents are treated better, some worse
The exception is melting pot cities like London and NYC - where you are likely not interacting with the native population at all.
- medical staff demanding to know if I'm Polish or Ukrainian in the middle of a big medical procedure where I am already in tears and in pain
- easier to get things done at banks and other admin places if you call the customer service number and speak (good) Swedish
- first thing that anyone asks in any social interaction is "Where are you from and what are you doing in Sweden?" Might not be malicious, but it's starting to grate on my nerves. Where I am really from is probably the least interesting thing about me.
And by the way, I am originally from another Nordic country and look Western European. I can only imagine what it's like for someone who looks different.