You could always sell them to card shops that buy bulk commons/uncommons. You're not going to get what they actually go for (probably less than $0.05-$0.10 per card), but it's the only way you'll realistically get rid of them all outside of giving them away. Just remember to do price checks on cards that you think might be valuable before doing this, Vs. Seeker is an $8 card, and foil eternal trainers are worth quite a bit even if they're not played in every deck, or even most decks. Foil Switch from FireRed and Leafgreen, EX Delta Species and EX Dragon Frontiers can go for ~$10 for example, so even though it's a common you can probably get more than $0.05 for it.
Unless you really want to get rid of them, just hanging onto them for sentimental value is probably your best option.