The current Timberwolves streak of advancing in the Post-Season 3 years in a row has only been done by the current 4 Minnesota MLB-NBA-NFL-NHL franchises one other time.
The Vikings had a 4 season streak from 1997 - 2000. The good old days, Pre-Wilf ownership.
The North Stars also did it 1983 - 1985.
The Minneapolis Lakers advanced their first 6 seasons in the NBA, 1950 - 1955. Also partial credit for ending their tenure in Minnesota with back-to-back seasons of Playoff victories, 1958 & 1959. The LA Lakers would run the franchise streak to 5, tacking on 1960 - 1962.