Yeah, food pantries especially are bespoke operations, and you really just have to find one near you and talk to them to find out what they want or need. Some will be territorial and not want non-eg-church-members volunteering, others will be thrilled to have community involvement. Some won't need volunteers for distribution, but will be glad to have younger labor to help with food pickup - picking up a literal ton of food and carrying it up stairs is a lot of work. Some places might not need help right now but will in a different season, as volunteer schedules change. They might also need help of varieties beyond the obvious - management, like you said, or accounting or network-building (eg, finding other sources of donations, like groceries or farm co-ops) or web development/social media management.

Even if they don't need more volunteers on the regular, most places won't mind if you join a couple of shifts, just to get a feel for how they operate.

Ultimately, you just have to find a place and start talking.