Depends on the person... Go with low maintenence pets if you're lazy or don't have the room/time/patience to deal them... I love ALL animals, and have owned every typical pet, except a ferret... Hmm... Oneday...
Turtles are great! We caught some baby map turtles in the river as kids, and they grew up to eat out of our hands, and were fairly low maintenence, as long as you know how to keep an aquarium. However, I don't recommend you take turtles from the wild... Check your local pet shop, or better yet, find a reptile dealer to give you a good recommendation on a turtle that would be right for you.
Goldfish (and many other freshwater fish) are great for the extremely lazy... You'd have to try to kill them....
I LOVE cats and dogs, and might lean slightly as a dog person, but as I've grown lazier as I've aged, (I'm only 33 hehe) I only have cats now. It's nice not having to let them out....
Lizards and snakes are very interesting, but it takes a lot of care to keep them healthy. Temp, humidity.... Too many of these creatures are killed or abandoned by people who had no idea how much upkeep they need.
If you have kids, or are just easily amused, get a gerbil! They are almost ALWAYS friendly, and have personality. We kept them as kids, and I still want to get another. I have friends that swear by pet rats, too.
And, as a goof, if you have a body of water near you, get a small goldfish net, and catch a crayfish! They can live in ANYTHING, and will eat whatever you have to give them. I did this when I lived in the college dorms, and everybody was amazed by how interesting they were. You only need to set up a small tank and give them some water, and some land. They'll spend all day creating houses, and stalking food... And, they're FREE!

Feeding time is hilarious. I had some brine shimp pellets that they loved, so when it was feeding time, and I dropped the pellets, they'd coming running out, waving their claws in the air like maniacs.
