I named my three explorer vessels after the probes we sent out and a space shuttle (I know, not very imaginative).
My first one was an AspX named Pathfinder. Sold the original one long ago. Picked up a new one when I went on a spree and bought one of every ship. The new one's currently sitting in my home station waiting for me to get back and work on it some more. I'm trying to turn it into something that can put up a bit of a fight if needed (or desired) instead of a long-ranger jumper.
My second (and main one) is an Anaconda called Voyager. It was my long-range jumper for a while but I recently changed its loadout to make it more of a science vessel.
Third is a DBX called Discovery. I had wanted to make it my science vessel, but it didn't have the internal space I wanted so it's currently now more of my Bubble hopper instead of an exploration ship. I'll probably keep this as the one I use when I get those tip-off missions. Speaking of which...
I have a Krait MkII named The Bloody Pearl that I originally built to do the illegal data collection and retrieval missions. I've also used it to go to the Guardian sites a few times, so it's done its share of exploration.