I asked Libby Eyre for some information on modern large mammal extinctions and this was her list in reply:
Steller’s sea cow,
sea mink and Carribbean monk seals,
the Thylacine,
Toolache wallaby and lesser bilby,
the Falkland Island fox,
aurochs (stunning bovines),
tarpans (a type of wild horse) and quaggas (amazing ‘half zebra, half-horse’ animals),
the Barbary and Cape lions,
the Bali,
Caspian and Java tigers,
the Caucasian moose,
Irish elk and European ass,
the Atlas bear,
Guam flying fox (not really very big),
the Arabian gazelle, and
the Wisconsin cougar.
Other readers might like to comment on, and add to this list.

Jennifer Marohasy BSc PhD has worked in industry and government. She is currently researching a novel technique for long-range weather forecasting funded by the B. Macfie Family Foundation.