Long list of projects

We now have 60 Jira projects. It seems we often are scanning the list to pick out a project. There needs to be a hierarchy such that a person can view a subset of all existing projects. Jira has categories, which I assign, but I don't see a way to use the categories to filter my view of projects. This should be simple and straight forward as users with low Jira experience will be doing this often.

Additionally, several of our 60 projects are no longer active. I do not want to delelte them, because the issue logs contain useful information. Being able to disable/archive a project so it does not show up in the long project lists would also be useful.