You might consider taking the time to listen to them as you might find that you're missing out on some music that you've forgotten about, overlooked, or enjoy more with your current system.
I had several stacks of CDs that I was ready to get rid of and after listening to them I opted to keep several of them that I wasn't expecting to enjoy.
This may be unreasonable depending on how many "tons" of vinyl you have and how much time you can dedicate to listening. My goal was one CD each time that I sat down for a listening session. If I didn't enjoy it after the first couple of songs I moved on.