Dear American native speakers, I know that some words that in British English have the sound ɒ like the word lot /lɒt/ , in the US are pronounced with the sound ɑː, so lot is /lɑːt/. Could you please provide a list or a link to a list of such words, for the only other words I know that have the sound ɑː are the words "everybody, documents, God, got. Thanks a lot.
VladvCould you please provide a list or a link to a list of such words
There is no such list. It would include every word with a "short o". 
got, hot, lot, not, rot, shot, spot, ...; song, long, wrong, ...;
nod, sod, cod, prod, ...; botch, notch, lodge, dodge, ...;
off, doff, prof, cough, ...; lob, sob, ...; posh, nosh, ...;
hop, top, ...; lock, clock, ...; clog, dog, ...; ...
Many Americans (chiefly in the Midwest) also use that sound where the British use /ɔ/:
bought, thought, caught, taught, dawn, fawn, lawn, author, ...
But others (Standard English) use a lighter form of /ɔ/ than the British do in those words. By 'lighter' I mean with less of the /o/-like sound (less lip rounding) than the British use.
By the way, "everybody" is /ˈɛvriˌbʌdi/.
CJ
Thanks a lot. What is the difference between the sound ʌ and ɑː, to me they sound the same, maybe there is some video or a link to some explanation or maybe you could explain it, thanks a lot.
/ʌ/ is short-u; /ɑː/ is short-o. (AmE) (I would actually write /ɑː/ as /ɑ/.)
The following are /ʌ/ - /ɑ/ pairs:
luck - lock; lung - long; hunk - honk; dun - don; rub - rob; bus - boss
Most dictionaries these days have an audio button you can press to hear the pronunciation. Select the button for the American pronunciation of the words above and you should be able to hear the difference. Here's a good site to find dictionaries:
https://onelook.com/
CJ
That sound is also in the words foreign and forest. The pronunciations of them in American English are for-in and for-est.
Not in the variety of English I speak.
CJ
That sound is in British pronunciations of those words.
Oh. Right. Got it.
CJ