Something i just wrote from some collected sources i have. I only have access to western literature (european), therefore i can only provide the myths of the early european people's. Many of which contain the mention of the entire earth covered by a deluge. Obviously there are hundreds more outside of European mythologies.
Ogygian deluge (Ancient Greek)
Varro in the 1st century BC, wrote the Ogygian deluge happened in 2136BC (De Re Rustica, III. 1. 3) and was world-wide (Ibid.), a date that closely resembles the Noachian flood of the Bible (Ussher - 2348BC, Masoretic - 2350BC, Josephus - 2256BC). The ancient Greek poet Nonnus, wrote that the flood of Ogyges also covered the entire earth (Dionysiaca, III, 205-207):
Ogygos made proof of the first roaring deluge, as he cut the air through the highclimbing waters, when all the earth was hidden under the flood.''
Keating's deluge (Irish)
We are told by Geoffrey Keating, in his Foras Feasa ar Éirinn, published in 1634 that the Noachian deluge covered the entire earth and that this occured in 2361BC. The earlier Irish Book of Invasions (11th century) also states the Irish recorded a deluge in their mythology which covered the entire earth.
Druidic and Bardic deluge (British)
Regarding other historical accounts of a deluge which covered the entire earth, one occurs in British Bardic and Druidic traditions. Edward Davies (1756-1831) a Welsh folklorist in his work Celtic Researches on the Origin, Traditions and Languages of the Ancient Britons (1804) recorded the Bardic tradition of a deluge that covered the entire earth (which interestingly appears similar to that of Noah and his ark):
First, the bursting of the lake of waters, and the overwhelming of the face of all lands, so that all mankind drowned, excepting Dwyvan and Dwyvach, who escaped in a naked vessel and from then the Island of Britain was re-peopled.
Deluge of the Picts (Scottish)
The Pictish Chronicle, describes the Noachian deluge. A Pictish stoneslab at Elgin Cathedral depicts and describes this deluge, showing men attempting to survive it but who fall under the powerful waves.
Ymir's Deluge (Danish Norse)
In the Norse Eddas (Gylfagginning, VII), it is stated that there was a deluge that covered the entire earth, having sprung from Ymir's blood. Only Bergelmir and his wife and family survived the deluge in a ship:
"The sons of Borr slew Ymir the giant; lo, where he fell there gushed forth so much blood out of his wounds that with it they drowned all the race of the Rime-Giants, save that one, whom giants call Bergelmir, escaped with his household; he went upon his ship, and his wife with him, and they were safe there.''
Saxo Grammaticus in his 12th century Gesta Danorum recorded the Danish version of this Norse myth of Ymir's deluge, which was very similar (VIII. 262).
Oera Linda Book (Frisian)
The Oera Linda Book, records a deluge which covered the entire earth, with the date 2194BC.
Kalevala (Finnish)
In the Kalevala rune entitled "Haava" (''The Wound'', section 8), collected in Northern Ostrobothnia in 1803, the rune tells:
''The blood came forth like a flood
the gore ran like a river:
there was no hummock
and no high mountain
that was not flooded
all from Väinämöinen's toe
from the holy hero's knee''
These are popular recorded deluges from european myths. These arn't even from folklore, there are hundreds more from just folklore alone which mention a deluge which covered the entire earth.