The national standard languages in Europe all have an associated dialect continuum that they were picked from. The standard varieties tend to overshadow other parts of the spectrum, but if Switzerland or Austria decided to abandon Standard German for a standardized form of Alemannic resp. Bavarian as the national language, those would stand as separate languages in their own right. They even have ISO 639-3 codes assigned already.

For an attempt at mapping not just standard languages, but also dialects that could be considered independent languages, see https://www.deviantart.com/totentanz0/art/Languages-of-Europ...

Switzerland has Romansh as one of its four national languages, though I'm not sure if that's the context you were intending. https://en.wikipedia.org/wiki/Romansh_language

Even if one counts Ireland as “not English” there’s at least also Moldova that uses Romanian I believe.