It would be helpful to be able to specify which memberships should show up in the constituent summary at the top of the record or should display in Lists (such as Event participants). Currently, if someone has more than one membership, it defaults to the first added - or the earliest one that's still active. If your org uses the membership module to manage board members, giving societies, and also traditional membership programs, or if there are more than one program, the "primary" membership isn't always the one that's most relevant to fundraisers.

Memberships are still a while down the roadmap, but this would be a big help until the feature is more robust.