A couple of things you can do.  First, fill out a FCC Form 1088 each and every time you get an abandoned or telemarketing call or spam fax.  Believe me, sooner or later the FCC actually does act.

In this case here is the info for Asset Acceptance:
For General inquiries, account questions, comments and customer service issues, e-mail customerservice@assetacceptance.com  or call (800) 545-9931 and ask to speak with an account representative who will be happy to assist you.

Corporate Headquarters:
Asset Acceptance Capital Corp.
P.O. Box 2036
Warren, MI 48090-2036

Customer Service
(800) 545-9931

Corporate Phone:
(800) 505-5166

Investor Relations:
(800) 505-5166, option 5

Public Relations:
(616) 233-0500
Lambert, Edwards and Associates, Inc.

Human Resources and Corporate Relations:
(800) 505-5166, option 2

Maybe try calling their Public Relation people or Investor Relations and complain.  If they get bothered enough they may have your phone number removed.

By the way, I am getting the calls myself and have asked on several occasions to remove my number, they have the name right but wrong person.  If they are collecting a debt you tell them not to call, to send mail.  These people at AACC say they only work by phone so technically they would have to stop contacting you.

Its a debt collector west management

Called my cell phone, left a message - sounds like a bill collector.

I also have Sprint.  I'm getting ready to terminate my contract though.  Cheaper rates and always issues with my account.
I have got this number calling me before but it's been awhile. I wouldn't be suprised if they did sell their phone numbers; everybody's trying to make a buck!

804:"Is Cornell there?"
Me "Who"
804:"Cornell"
Me "Wrong number"

I've had my home number for five years with call privacy on it.  
Don't know and never have ever met a "Cornell."

Called my cell AGAIN.  Asked for a woman (not my name).  Apologized for the wrong number.

Left no message.  My number is on the do not call list, and I have no outstanding debts.

This is the same company that calls from 804-234-9050 to 9060. I guess that all they want is to steal your information, they mainly want your full name, birth date and SSN. They have been calling me for months, the first time I answered the phone they said that I owe some money to Bank One. That is just impossible, either they are making it up or they are confusing me with another person.

Their goal is to annoy you to the limits to get the information they want.

I don't answer the calls anymore but they call everyday and leave no message. I am planning to report this to the police, we all should do that.

I donot think the donot call list works...i got the donot call list and these annoying debt collectors keep calling me...i wish they would leave me alone...they call me every day...it is very annoying...i donot pick up my phone so i wish they would get the message...someday...good luck everyone...

Called for the umpteenth time and today I answered the phone but put it down. Eventually a man came on saying "hello... hello", so I just put in on speakerphone and let him listen to me heat up my lunch in the microwave. He mumbled something about wanting to wrap this up because he had better things to do. Well, if you have better things to do, what the heck are you doing calling me?! Anyways, I didn't respond and he mumbled some other stuff and eventually hung up.
BTW, I don't have outstanding debts except a mortgage, but I do have an account with Bank of America. I think I'll be calling them soon to make sure I get removed from any and all list that they sell.
I've definitely noticed a HUGE increase in telemarketers and scammers calling. I google every number and usually get pages like this of people getting the same calls. So much for the Do Not Call list!

I received several calls from 804-234-9055 on my cell phone but I never answer them as there's no identification of what company or person's name.  Now - here's something interesting - I NEVER give out my cell number to anyone because I am HEARING IMPAIRED.  Where the heck did this company ever got my cell phone number to begin with??  I believe they got it from Sprint whom I have my cell phone coverage with.  I wonder if Sprint actually sells people's cell phone number listings to companies like this phone number and possibly violating our privacy??  Some people are correct about "do not call" registry as I did sign up all of our phone numbers with them, yet, where did they get my phone number from?  That's something I plan to investigate with a lawyer to talk with Sprint to see if they violated the cell phone users' rights??  Hmmmm... anyone of you have Sprint coverage for your cell phone?  If so, take this my interesting perspective being Deaf and never giving out my cell phone number to anyone because how can I communicate with someone if I can't hear??  What a joke...  I have my cell phone for email, Internet, text messaging, etc... NEVER for voice calls!!

Calls our organization Hotline (Emergency line) but not leave a message. Getting very irritating.

Received another "Unknown name, Unknown number" on the caller ID.  This is happening entirely too often.  Getting pretty sick of it. Someone on these posts says it a company called Asset Acceptance, a collection agency.  I don't owe anyone any money, so they shouldn't be calling me!!!

Spoke too fast, so I couldn't undertand.  It was from some "Acceptance" corporation though.

Call my cellphone at least onece a week. It is Asset Acceptance, a debt colletion agency. Rumor has it that it is assocated with bank of america.

called but didn't leave a message.  i returned the call.  it's a company called Asset Acceptance.  a collection agency.  before you deal with these people (if you have to) research them on the web.  i found nothing but bad things about them.

called left no message   wondering who it was!

calls several times a day.  Most of the time no one there.  today they asked for someone with the same last name but don't know the person.  It's really annoying to get these calls all the time.

There was a rude lady called and she was ask if the call was personal or bussiness she replyed personal and what did it matter and why was it my bussiness. Being the owner it was very much my bussiness. She was then told this was a bussiness which did not recieve person calls. Her reply was that she was given this number by this person and was told it was okay to call at work. Because of the company policy the employee was fired. I sure do hope she was telling the truth and someone doesnt get sued over this lady losing her job. I really think there should be something done to these people who constantly call and harrass you no matter where you are. They should not be able to call you on your job. And if they do they should have to leave their personal name, the company they work for and a return number so you will know who to sue or bill for your lost time on the phone.When you tell them one time to take your number off their list and they don't you should be able to do something. With jobs being scarce this is not the time to make a person loose their job on purpose, how do they sleep at night.The government needs to crack down on calls like this make companies really pay when they just keep on calling and harrassing people. They should have to pay a fine.

Keep calling our company on many of our phone lines looking for someone who has retired. Would not say who they represent or how we could get the company removed from their list.

Returned the call but got fast busy

Hi this message is for Martha, If you are not Martha please erase this message. If you are Martha, please listen to this message alone for it contains personal information. Garbled talking, then the message ends.

I had a call from this number, but never left a message.

Called for my husband, asked him to leave a message and he said "no maam, you have blessed day"....creepy much.