I'd be surprised if Tulsa had one, since the bus system is reducing services and raising rates. Plus they are just now putting the finishing touches on a major street project in Downtown- which included doing away with a pedestrian mall.
30 years ago, Downtown thrived according to this article-
Sparkling Tulsa Downtown Workers Pack Pedestrian Mall | News OK. That was before the local economy tanked and most of the oil & gas companies relocated to the Houston area.
And here is a photo timeline of the old mall's main attraction-
Photo gallery: Downtown Tulsa's Bartlett Square fountain - Tulsa World: Downtown- it used to be a wondrous multi-level series of fountains that kids (including myself) would splash in.