Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
2 / 3
Hellscream's ReachNeutral · 1,100 / 3,000
0 / 1
RamkahenNo standing yet
2 / 2
Wrath of the Lich King
1 / 5
The Sons of HodirHated · 1,300 / 36,000
0 / 2
The SunreaversRevered · 4,046 / 21,000
0 / 2
The Wyrmrest AccordHonored · 2,846 / 12,000
1 / 1
The Burning Crusade
1 / 16
Cenarion ExpeditionNo standing yet
1 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harFriendly · 890 / 6,000
0 / 4
Horde
42 / 533 to get now
Bilgewater CartelNo standing yet
0 / 1
Darkspear TrollsHonored · 7,554 / 12,000
6 / 8
OrgrimmarNo standing yet
16 / 18
Silvermoon CityRevered · 11,117 / 21,000
7 / 9
Thunder BluffRevered · 12,525 / 21,000
6 / 8
UndercityRevered · 10,682 / 21,000
7 / 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 4 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.