On 20 January 1980 he achieved the first Yugoslav World Cup victory in Wengen, Switzerland and later he won seven more times, thus still being Yugoslavia's and Slovenia's most successful male alpine skier to date.

[2] At 1980 Winter Olympics in Lake Placid, New York, U.S., he reached the fourth place in giant slalom, missing the bronze medal by only two hundredths of a second.

Križaj should also have competed at 1988 Winter Olympics in Calgary, Alberta, Canada, but he got injured a few days before the event.

[2] His most successful World Championship was in 1982 in Schladming, Austria where he received the silver medal in slalom.

[2] He concluded his career in 1988 at the race in Saalbach, Austria where he stepped off the skis right at the end of the track and walked into the finish area.