At the former Bristol Catering, the building's owners are doing stabilization and repair work, but apparently there's no tenant yet.
http://brokensidewalk.com/2016/632-east-market-street/And it sounds like something similar may be the case at the former Papalino's space. The Martinezes had been said to be opening a restaurant in there, but that was at least a year and a half ago, so I assume those plans are dead.
http://insiderlouisville.com/business/tcb20160603/