My parents are in their mid 80's and have added my name to their bank accounts in the event of an emergency or death I would be able to access their funds. My question is that I have my own credit issues resulting from a job loss back in 2009. I am now collecting SS disability payments so in that respect I am judgement proof. However, if my creditors chose to sue me, could they access my parent's accounts? I do not access their funds at all but this concerns me. Should I have my name removed from their accounts? I live in multnomah county, Oregon. My age is 61. Have a BA degree.

If you are listed ans an owner on the account your creditors can attach them if they get a judgment. Instead of adding you as an owner have your parents give you a Power of Attorney.

I agree with Scottgem. Eldercare attorneys in my area advise very strongly against putting a son or daughter's name on the parents bank accounts, for many reasons.
With POA's for both parents, you are covered unless both of them should perish in a common disaster.
If one should pass on, you would have to come up with another plan as the POA wouldn't help after both are deceased. Of course they can name you as beneficiary on their bank accounts -at least that is possible in the staes I have resided in.
I would use the POA's and beneficiary route I believe. Just based on my own experiences.

Yes, it normally opens up their accounts if you have judgemetns against you