Thanks to great SUSE Studio I've made available appliance with ready to run Weblate. It's based on openSUSE 12.1, with few packages coming from Python devel repository (where I had to push some package updates) and Weblate package, which is currently available in my home.
After booting the appliance, you will get Weblate running as web service (it takes some time on first boot as database setup is done in that time). In case you will use it for more than playing, please remember to change default passwords as described in our documentation.
Anyway let's stop talking, you can get the appliance at SUSE Studio Gallery.