Hmm, there are some superlatives ("highest resolution") in here I'm not sure about. Lots of groups create maps like this for modeling purposes. One for sea surface temperature is:
This is a blended product (i.e., multi-instrument, and gaps filled) with 1km resolution. There is also a 1km MODIS land surface temperature data product:
http://ourocean.jpl.nasa.gov/SST/
This is a blended product (i.e., multi-instrument, and gaps filled) with 1km resolution. There is also a 1km MODIS land surface temperature data product:
http://modis.gsfc.nasa.gov/data/dataprod/dataproducts.php?MO...
Neither of these is real-time (more like daily).