Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
3 / 3Complete
Hellscream's ReachNo standing yet
1 / 1
RamkahenHonored · 2,539 / 12,000
2 / 2
Wrath of the Lich King
5 / 5Complete
The Sons of HodirNo standing yet
2 / 2
The SunreaversRevered · 16,877 / 21,000
2 / 2
The Wyrmrest AccordNo standing yet
1 / 1
The Burning Crusade
16 / 16Complete
Cenarion ExpeditionRevered · 3,281 / 21,000
1 / 1
NetherwingNeutral · 1,850 / 3,000
6 / 6
Sha'tari SkyguardHonored · 1,875 / 12,000
5 / 5
The Mag'harHonored · 9,110 / 12,000
4 / 4
Horde
52 / 53
Bilgewater CartelFriendly · 5,793 / 6,000
0 / 1
Darkspear TrollsHonored · 7,025 / 12,000
8 / 8
OrgrimmarRevered · 4,885 / 21,000
18 / 18
Silvermoon CityFriendly · 5,999 / 6,000
9 / 9
Thunder BluffHonored · 10,659 / 12,000
8 / 8
UndercityHonored · 11,506 / 12,000
9 / 9
Darkspear Trolls and Orgrimmar and Silvermoon City and Thunder Bluff and Undercity mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Standings come from the last update, 10 days ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.