I still use a Yahoo account I created back in 95 (I think, it might be a little later).
My fark account is old enough to drive in the US. I don’t think I really use much of anything that old anymore.
I had facebook from the time when it still required a .edu email, though I quit that. I lost access to my hotmail account years ago after dropping it in favor of gmail. I had IRC accounts going back into the '90s, but I almost never use IRC anymore (and certainly not on those same networks (assuming they even still exist)).
I have an email address and shell account on a SCO UNIX system that I’ve had since 1994.
Strangely, the oldest thing I have left is a web hosting account by Strato that I opened around 1999. My dad still uses an e-mail adress he got with his first T-Online account when the internet became available for normal households in Germany in the mid-90s.