In Russian it did stick as a word for photocopiers (ксерокс), copies (ксерокопия) and the act of copying (ксерить, ксерокопировать) to this day.

At this point it's more of a legend, but it goes that the word we use for toilet, унитаз, is the brand name of the company that sold toilets in 19th century.

Scotch is one brand of adhesive tape but we call all such tape "скотч".