api.sfpark.org:9001/SFE/ with the login, password sfeuser11, sfe@pier11

 http://sfpark.demo.opengeo.org/openlayers/mobile-noanim.html

 http://sfpark.demo.opengeo.org/openlayers/mobile.html

 http://sfpark.demo.opengeo.org/leaflet/mobile.html

 http://sfpark.demo.opengeo.org/openlayers/geolocate.html

 http://style.demo.opengeo.org/m.html

 http://style.demo.opengeo.org/draw.html

 http://openlayers.org/dev/examples/mobile-drawing.html

 http://openlayers.org/dev/examples/mobile-jq.html#mappage

 http://openlayers.org/dev/examples/mobile-layers.html

 http://openlayers.org/dev/examples/mobile-navigation.html

 http://openlayers.org/dev/examples/geolocation.html

 http://openlayers.org/dev/examples/mobile-sencha.html

 http://dev.geoext.org/sandbox/gxm/geoext/gxm/examples/mappanel.html

 http://dev.geoext.org/sandbox/gxm/geoext/gxm/examples/layerlist.html

 http://dev.geoext.org/sandbox/gxm/geoext/gxm/examples/buttons.html

 http://dev.geoext.org/sandbox/gxm/geoext/gxm/examples/state.html

If anyone knows any live sites that are using OL 2.11 and working on mobile devices please add them here. Would be nice to have a real one.

I also may try to update  http://style.demo.opengeo.org/ to work on latest OL.