My laptop recently died. I've got a replacement, and I've already pulled both hard drives out of the old one and ensured that there's no disc in the DVD drive. As far as I know, that should constitute all of the sensitive data that could possibly be gleaned from my system. Is it now safe to hand the remains over to a computer recycling outfit that, for all I know, might have one or more malicious actors working as employees, or is there anything else I need to be aware of first?
If you have removed the hard drive and checked that no removable media was left in it, then none of your data can be found on it. (They will be able to see your BIOS settings, but that isn't considered sensitive data for a dead laptop.)
By the way, if you have an SD slot, make sure you check that too.
Unless you work for a 3 letter agency or something similar your risk profile is very low. However if you are removing the RAM, resetting the BIOS, and removing any storage should prevent just about any data access.