Since the 1970 merger, I only found 5 cases where a play-by-play announcer was assigned a playoff game in his first season calling the NFL on network TV. Here is the unique list that Burkhardt joins (note: the year refers to the NFL season even when the playoff game was in the following January).
- Kevin Burkhardt (Fox) - 2013
- Dick Enberg (NBC) - 1977
- Vin Scully (CBS) - 1975
- Gary Bender (CBS) - 1975
- Brent Musburger (CBS) - 1974
Back in the 1970s, the networks were more likely to spread playoff assignments around to more announcers even with fewer postseason games. CBS actually used two first-year play-by-play announcers during the 1975 playoffs. Another interesting aspect is that the first playoff assignments for Enberg and Scully were conference championships. The others on the list were divisional playoff games.
Even in the years when ABC and NBC have carried a wild-card playoff doubleheader while only using one regular season broadcast crew, the second play-by-play announcer always had NFL network TV experience from a prior season.