Share filters with more than one group / user at a time

Many of our team members are clamoring for more flexibility in sharing filters. We have a number of concurrent projects. I've created filters such as "My Current Tasks" defined as "in [my project] for version [1.1] show me all issues assigned to [me]." I can't share that with everyone, only with the group(s) associated with [my project]... but that's more than one group. This would be a big hit with our teams.