types help

Well, if you were pushing two meshes at the same time, your code wouldn't work.

If you took out these lines:

If a\BeingPushed = 0
Endif

but left this one:

MeshB = a\model

Then it might work.

Looking back now, I see that you were probably checking for BeingPushed = 0 so that you weren't checking the same mesh against itself. You can prevent that by comparing the mesh handle instead of what you were comparing.
New code:

For a.PushableItem = Each PushableItem 
  MeshB = a\model
  If MeshA <> MeshB
    If MeshA <>0 And MeshB<>0 
      If MeshesIntersect(MeshA,MeshB) 
        TranslateEntity MeshA,(char\move)*(collsnx),0,(char\move)*(collsnz) 
        TranslateEntity char\PlayerPivot,(char\move)*(collsnx),0,(char\move)*(collsnz) 
      EndIf 
    EndIf 
  Endif
Next

Hope that helps.