I recently read a fascinating online magazine article that tried to show a more realistic view of Neanderthals. They pointed out that one of the first reconstructions was done using the skeleton of an older, very arthritic individual That's why early models portrayed them as stooped and gnarly looking.
Later models show them as very robust humans who could walk around in a suit or dress and be considered ugly but otherwise normal.
Someone commented(and rightly so!) that they would have looked even better if the artists hadn't given them hair resembling the Troll dolls from the 70's.