Going from Bulgarian to Japanese (日本語) has a composite linguistic distance of 94% (heuristic estimate). Below is the dimension-by-dimension breakdown.
Shared vocabulary, cognates, and loanwords.
Morphology, syntax, word order, cases.
Shared sounds and phoneme inventory.
Cyrillic → Japanese
Indo-European ↔ Japonic
The 5 languages with the lowest linguistic distance from Bulgarian:
A quick 3-question check between Bulgarian and Japanese. No signup.