For the Anatolian languages either hav the Hittites survive or have the Lydians survive.
With Gothic as with the other eastern Germanic languages there would need to be several areas where they replaced the local Latin.
Regarding the Paleo-Balkan or non-Greek Hellenic languages...a theory was recently proposed that Burushaski is descended from Phrygian, spoken by mercenaries who settled in the area after Alexander's conquests, and twisted beyond almost all recognition by twenty-three centuries of divergent development among Indo-Iranian languages.
Could we get some sort of Gothic state on Crimea to last longer, thus preserving the language until the Russians start expanding their empire into the area. Hen the language could survive as well as Estonian, Belorussian, and others.
Breton is considered a Insular Celtic language and close to both Cornish and Welsh. Which is not surprising because they all are descended from Brythonic. Gaulish is considered a Continental Celtic language.
Although the Brythonic languages are P-Celtic along with the Continental ones (including Gaulish), while Gaelic is Q-Celtic. Although I have read that the Celtic languages of Spain might have been Q-Celtic.
The problem is that the Celtic and Italic languages never really separated before the Roman Expansion they just lost some continuity due to the Etruscans, Gaulish was closer to Italic than Brythonic is to Italic because it remained in contact with Italic, I think it is possible for the Gaulish people to assimilate the Italic people in reverse to what happened in OTL.