Lee has been nominated twice for the Dora Mavor Moore Award for Outstanding Performance by a Male in a Principal Role, Large Theatre, for "The Monster Under the Bed" in 2010 and "Kim's Convenience" in 2012. In the 5th Canadian Screen Awards (held in 2017) and 6th Canadian Screen Awards (held in 2018), he won the Best Actor in a Comedy Series for his portrayal of Appa in the "Kim's Convenience" television series. Lee was selected to host the fourth season of the reality competition show "Canada's Smartest Person", entitled "Canada's Smartest Person Junior" and featuring children as contestants.