https://en.wikipedia.org/wiki/Beta_Code - but people (including Greek speakers) still transliterate Greek to English-style, like https://en.wikipedia.org/wiki/Greeklish
https://en.wikipedia.org/wiki/Romanization_of_Hebrew#Compara... - see "Common Israeli" (despite the existence of scholarly options like SBL, and the fact that the informal transliterations conflate tons of different things that are spelled differently but pronounced alike in modern Israeli Hebrew)
https://en.wikipedia.org/wiki/Romanization_of_Arabic#Compari... - as with Hebrew, the https://en.wikipedia.org/wiki/Arabic_chat_alphabet versions will also sometimes elide differences that are preserved in writing in Arabic script
https://en.wikipedia.org/wiki/Pinyin - but people (including some Chinese speakers) sometimes still transliterate Chinese to English-style (and often omit the tones)
My impression is that, of these, native speakers of the mentioned languages are most familiar with Pinyin, probably because it's officially taught and tested in school in many Chinese-speaking countries. I don't think romanization methods for the other languages are taught in school and that might help account for why many people often don't know them, or at least don't know them in detail.