I'll not include any olympic moments in this list since there is a thread about the best olympic moments too, but if I was including olympic moments, at least Franz Klammer winning the downhill in Innsbruck would have made the list, and probably a few other ones too (Hermann Maier's wins in Nagano, Raich-Herbst-Schönfelder podium sweep in the 2006 Slalom for example)
5.) Austria's ninefold win on the Patscherkofel in 1998
For everyone not caring about the alpine skiing world cup, no, having skiers from only one nation from the first to the 9th place is not ordinary. A display of dominance which will probably never be repeated.
4.) The whole nordic skiing world championship 2011
7 gold medals for Austria in one world championship is something I probably won't ever see again. Tbf the medal count is partly so high because there were both two team events for the ski jumpers and the nordic combined and Austria won all 4 of these events. But anyway, this was a mightily impressive world championship, with gold in all 5 ski jumping competitions (plus silver in the two men's single events), two gold medals for the nordic combined relay (which tasted even sweeter because they were won in close sprints against Germany) and a bronze medal for Felix Gottwald in the large hill event.
3.) Werner Schlager becomes table tennis world champion
2.) Thomas Muster wins Roland Garros
1.) CÓRDOBA
The Austrian national team beat Germany 3:2 in the 2nd group stage of the 1978 FIFA world cup (man, the format of the world cup was weird back then with two group stages and no knock out stage)
Austria didn't even achieve anything big by winning this match but still this is probably the most legendary moment in Austria's sport history just because we could spoil our big neighbors world cup. I honestly have no idea why this game even got such a legendary status but Austrians still can't stop talking about how they kicked Germany out of the World Cup in the most famous game in Austrias football history.