I can definitely say that Aussie tramways WERE made with a groove - I know cause I once slid down such rails on a wet day in my car... BOOM Crunch!

Mainly only Melbourne runs any trams now - there are a couple in Adelaide, but I can't vouch for the rail shape there - it is more of light rail than a tram as I understand - but it IS a tramway. I once handled such a scrap of metal myself in a junk yard.