Sure, there is some less potent ones, but they might not be very effective. I'm not sure why else your doctor would not mention them.
Percocet has oxycodone in it, which is some quite strong shit, although a single pill only contains 5 to 10mg. So I can understand why you don't want to use it long-term and commend you for wanting to take steps to change that.
Less addicting ones would be anything with Codeine (Tylenol 3/4), Propoxyphene (Darvocet/Darvon), and Tramadol like SampSon mentioned. I don't know a whole lot about Tramadol but it is a bit different chemically than other opiods, and might be better for long-term if you do end up having to be on something. But the first two are really weak and its possible they just wouldn't work well for you.
Also, milligram for milligram, oxycodone is stronger than hydrocodone (Vicodin, etc) so even that could technically be weaker. So again it's weird your doctor didn't suggest anything, as there is certainly more out there. But he knows more than me and about your condition so maybe there is something else going on. I've also heard of people on Methadone for pain but that is not as common and that is most certainly something you don't want to switch to. I've heard of people perscribed Suboxone for pain but that is very rare, as expected and actually surprisingly as I didn't think Suboxone had decent analgesic effects at all.
But really, you can get very addicted to any of them. Your tolerance will increase with continuous intake of any opiod. And the side effects in some can be worse than others as your dosage raises due to tolerance. How much oxycodone do you need per day to manage your pain?
edit: Forgot to mention: Like SampSon said, might be best to get another opinion/look into possibility of surgery. Also exercise and/or stretching might be good, although I'm sure you've already tried that. Because surgery is about your only option to not require daily pain killers long-term, weak ones or not.