This photo, of an Australian coffee shop in London, was sent to me by Benjamin Tucker:
The use of an -ie (or -y) suffix is well-known in Australia: so you have:
- barbie (barbeque)
- mozzie (mosquito)
- u-ie (u-turn)
- eskie (ice box for keeping beer cold)
So, the purpose behind the name Beanie seems to be show it is a coffee shop from Australia. Quite imaginative, really.