While the franchise has been known under its current name since in 1987 and its logo has always featured a blue jay bird, it doesn’t mean that the logo actually remained unchanged.
The logo of the Dunedin Blue Jays is heavily based on that of the Toronto Blue Jays, which is its parent team.
The Dunedin Blue Jays logo was introduced simultaneously with the new brand identity for the parent team, the Toronto Blue Jays, and it looks almost the same. The most notable difference is the absence of the maple leaf. The word “Toronto” has been replaced by “Dunedin.”