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
RamkahenFriendly · 135 / 6,000
2 / 2
Wrath of the Lich King
5 / 5Complete
The Sons of HodirNo standing yet
2 / 2
The SunreaversRevered · 9,249 / 21,000
2 / 2
The Wyrmrest AccordHonored · 1,446 / 12,000
1 / 1
The Burning Crusade
16 / 16Complete
Cenarion ExpeditionHonored · 2,199 / 12,000
1 / 1
NetherwingNo standing yet
6 / 6
Sha'tari SkyguardNo standing yet
5 / 5
The Mag'harNo standing yet
4 / 4
Horde
53 / 53Complete
Bilgewater CartelHonored · 1,698 / 12,000
1 / 1
Darkspear TrollsHonored · 3,684 / 12,000
8 / 8
OrgrimmarHonored · 7,978 / 12,000
18 / 18
Silvermoon CityHonored · 2,364 / 12,000
9 / 9
Thunder BluffFriendly · 5,999 / 6,000
8 / 8
UndercityRevered · 12,787 / 21,000
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, about 7 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.