The only places that come close are San Antonio (where the city manager is the former deputy city manager in Phoenix, Sheryl Sculley) and Dallas. San Diego abandoned council-manager in 2006.
The alternative is the strong mayor form, where the mayor acts as a largely independent chief executive and the city council is a legislative body. Think: New York, Los Angeles, Chicago, Houston, Philadelphia, Washington, D.C., Detroit and Seattle.
Twelve of the 20 most populous American cities have strong mayors. The remainder are council-manager. Now there is at least a boomlet to bring a strong mayor form to Phoenix.