When researching a variety of Norwegian spoken by some people in the Midwest known as “norst” or American Norwegian, someone commented that it was like the Quebecois of Norwegian.
My native language is English and I am American though, so I guess my own dialect of English would be the Quebecois of my language, or Canadian English too.
I think most larger (or older) immigrant communities have their own dialect. Runglish is Russian spoken with lots of words borrowed-adapted from US English.
In parts of Eastern Ukraine and Western Russia, there is also surzhyk, which is a difficult-to-describe blend of both languages, often difficult to comprehend to those who do not speak both or dis not grew up in the area.