As an example, medical care/inheritance rights are one.
Back before the days of gay marriage, there were no end of horror stories of LGBT people whose partners were dying from HIV, and were forbidden from seeing their dying partners, or for estranged family to swoop in and kick the "friend" out, preventing them from seeing their partner, often taking everything that belonged to the deceased in the process.
A relatively famous art piece has a similar story, where Boskovich's boyfriend's family swept in and took everything from their shared apartment after he died, effectively erasing their relationship in the process. All that was left was an electric fan.
Especially since they've currently got a big, expensive war on their hands, that they're all-hands-on-deck for.