Hello there, I just completed the Extinguish and Honor the Flames achievements and wanted to share my route. It's probably not the most efficient one you could take but It's better than doing it randomly. King of the Fire Festival achievement is included in the route as well.

NOTE: This is meant only for characters that have all the flight paths unlocked which you are supposed to utilize as much as possible. That's why in almost all maps that have both horde and alliance flames alliance ones are listed first so that when you do horde ones you are near the flight master and ready to fly to the next zone.

TIP: Never spend your Burning Blossoms before completing achievement Burning Hot Pole Dance which requires you to dance at the ribbon pole for 60 seconds while wearing full midsummer set. This set costs 400 Burning Blossom. You may also need some extra Blossoms for Juggling Torches.

TIP for Death Knight, Hunter, Pala: Pala just turn on crusader aura and Hunt and DK make sure to use your talents which increase mounted movement speed if you have dual talents and the second spec is not that important for you. This will save you some time because there is a lot of running.


START IN ORGRIMMAR AND FLY TO ASHENVALE

Ashenvale -- Splintertree Post at 69,69
Ashenvale -- Astranaar at 37,54
Darkshore -- Auberdine at 37,45

TAKE SHIP TO AZUREMYST ISLE, IT'S THE ONE ON THE FRONT DOCK

Azuremyst Isle -- Azure Watch at 44,52
Inside Exodar there is a blue flame which gives Exodar quest item, should be in the Crystal Hall (not 100% sure)
Bloodmyst Isle -- Blood Watch at 55,67

BACK TO DARKSHORE AND TAKE SHIP TO TELDRASILL (SIDE DOCK, SHIP LOOKS THE SAME AS BLOODMYST ISLE ONE)

On the way to Teldrassil you will see blue flame at the bottom of the tree it gives Darnassus quest item
Teldrassil -- Dolanaar at 54,60

BACK TO DARKSHORE AND TAKE SHIP TO STORMWIND (OTHER SIDE DOCK, BIG SHIP)

In Stormwind you will find your third blue flame which gives Stormwind quest, it's to the right of trade district on map
Elwynn Forest -- Goldshire at 43,63
Westfall --Sentinel Hill at 55,52
Duskwood -- Darkshire at 73,54
Redridge Mountains -- Lakeshire at 26,60

GO TO GROMGOL IN STV AND FLY TO BOOTY BAY

Stranglethorn Vale -- Booty Bay at 33,74
Stranglethorn Vale -- Booty Bay at 33,74

TAKE PORTAL TO DUN MOROGH IN BOOTY BAY

Dun Morogh -- Kharanos at 46,47
Go to Ironforge and take the last blue flame which gives Ironforge quest item, it's in front of hall of the explorers

HEARTH TO DALA AND TAKE UNDERCITY PORTAL (or find any other way to get to undercity)
COMPLETE QUESTS

Tirisfal Glades -- Brill at 57,52
Silverpine Forest -- The Sepulcher at 50,39

HEARTH DO DALA AND TAKE SILVERMOON PORTAL (or find any other way to get to silvermoon)

Eversong Woods -- Falconwing Square at 46,50
Ghostlands -- Tranquillien at 47,26
Western Plaguelands -- Chillwind Camp at 43,82
Hillsbrad Foothills -- Southshore at 50,47
Hillsbrad Foothills -- Tarren Mill at 58,25
*After Taren Mill i flew to the next location then flew back to Taren Mill and walked from there
The Hinterlands -- Revantusk Village at 76,74
The Hinterlands -- Aerie Peak at 14,50
Arathi Highlands -- Refuge Point at 50,44
Arathi Highlands -- Hammerfall at 73,41
Wetlands -- Menethil Harbor at 13,47
Loch Modan -- Thelsamar at 32,40
Badlands -- Kargath at 4,50
Burning Steppes -- Flaming Crest at 61,30
Burning Steppes -- Morgan's Vigil at 81,63

HEARTH DO DALA AND TAKE THUNDER BLUFF (or any other horde city) PORTAL THEN TAKE BLASTED LANDS PORTAL

Blasted Lands -- Nethergarde Keep at 58,17
Swamp of Sorrows -- Stonard at 46,45

NEXT LOCATION IS WINTERSPRING (find your way to orgrimar/thunderbluff, since your hs is probably on cd you can fly from stonard to undercity and take zeppelin to orgrimmar and then fly to winterspring from there if you don't have any way to teleport)

Winterspring -- Everlook at 59,35
Winterspring -- Everlook at 62,35
Durotar -- Razor Hill at 51,46

HEARTH TO DALA AND TAKE THUNDER BLUFF PORTAL (or find any other way to get to thunder bluff)

Mulgore -- Bloodhoof Village at 53,60
The Barrens -- Crossroads at 51,26
Stonetalon Mountains -- Sunrock Retreat at 50,60
Desolace -- Shadowprey Village at 26,77
Desolace -- Nijel's Point at 65,17 (you can teleport/astral recall/scrole of recall/find your way to Thunder Bluff here or just run back to flight master)
Feralas -- Camp Mojache at 72,47
Feralas -- Feathermoon Stronghold at 46,43

HEARTH TO DALA AND TAKE THUNDER BLUFF PORTAL (or find any other way to get to thunder bluff) and fly to Silithus

Silithus --Cenarion Hold at 55,35
Silithus -- Cenarion Hold at 46,43
Tanaris -- Gadgetzan at 49,28
Tanaris -- Gadgetzan at 52,28
Thousand Needles -- Freewind Post at 41,52
Dustwallow Marsh -- Brackenwall Village at 33,31
Dustwallow Marsh -- Theramore at 61,39

TIME FOR OUTLAND, GET TO THUNDER BLUFF OR ANY OTHER CITY AND GO TO BLASTED LANDS PORTAL THEN INTO HELLFIRE PENINSULA (I did this part with flying mount)

Hellfire Peninsula -- Thrallmar at 57,42
Hellfire Peninsula -- Honor Hold at 62,58
Shadowmoon Valley -- Wildhammer Stronghold at 40,54
Shadowmoon Valley - Shadowmoon Village at 33,31
Terokkar Forest -- Allerian Stronghold at 54,56
Terokkar Forest -- Stonebreaker Hold at 52,43
Nagrand -- Telaar at 50,70
Nagrand -- Garadar at 51,34
Zangarmarsh -- Telredor at 69,52
Zangarmarsh -- Zabra'jin at 36,52
Blade's Edge Mountains -- Sylvanaar at 41,65
Blade's Edge Mountains -- Thunderlord Stronghold at 50,58
Netherstorm -- Area 52 at 31,62
Netherstorm -- Area 52 at 32,68


The only 2 achievements that I haven't covered yet are Ice the Frost Lord which is simple, just que for frost lord ahune dungenon and kill him.
The other one is Torch Juggler which requires you to juggle 40 torches in dalaran within 15 seconds. You can buy torches with Burning Blossoms if you don't have any and no you do not need 40. I did it with 15 but 10 should be enough if done properly. The method for doing it is simply standing in a narrow tunnel in the dalaran sewers and tossing them really fast. Bind the torches on a key and spam them out. My suggestion is to find a video on how to do it in order to not waste any torches.