Karl-Anthony Towns arrived in Minnesota as the first overall pick of the 2015 Draft, and he did exactly what you want in his rookie season by winning the Rookie of the Year award and being a fringe All-Star candidate.  What you expect after is for steady improvement, and again, this is exactly what the T-Wolves have received thus far.

Over the sixteen years that Tyrone Corbin spent in the NBA, there is no question that the best run of his career was in Minnesota.  Joining the T-Wolves when they were an expansion team, he was not winning often but he enjoyed the best individual seasons on his career putting up career highs in Points per Game with 18.0 and Rebounds with 7.4.

Statistically speaking Joe Smith belongs on this list. The versatile forward averaged 10.3 Points per Game over 247 NBA contests with slightly above average advanced metrics. He would essentially become an NBA journeyman playing for 12 teams, but it was with Minnesota where he was most famous, and dare we say most infamous.

A member of the Minnesota Timberwolves midway through his National Basketball Association career, Anthony Peeler, spent the bulk of his NBA tenure with the Wolves.  Peeler managed a long NBA career but it was with Minnesota where he had his longest run.