Large collection of ancient art: a good Egyptian department, great sculpture from Greece and Rome, some nice finds from Austria itself, and a splendid collection of ancient coins. At walking distance from the Ephesos Museum: together, you can spend here a whole day.
There are 61 items in Vienna, Kunsthistorisches Museum:
Apis, Coin of Julian the Apostate
Anthemius
Romulus Augustulus
Probus
The Roman she-wolf
A barbarian on a collapsing horse
Rhodes, Amphora (orientalizing style)
Zancle, Coin with dolphin
Psammetichus II sacrificing to Thoth, represented as baboon
Thoth, represented as an ibis
Coffin lid of Queen Chedeb-Neith-Iret-Bin, wife of Necho II
Elephantine, Temple of Chnum, Stele of Amenhotep II