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As others have said the "easiest" job to get right out of school is to work in public accounting. There are many firms of varying sizes and it looks good on a resume for going forward. In addition, it gives you exposure to many industries and the accounting for many different accounts (PNL & BS) which you would not get that much exposure going straight into industry (working for a J&J or Vanguard). The hours can be really tough though. If you have a company you really like or an industry you really think that you want to work in though, just go for applying for jobs in industry but these are a lot more difficult to get but are better hours.
In addition to the answers already given, you may consider going back to school to meet your requirements for the CPA exam. Usually, states require 150 credit hours to sit for the exam, which is more than a standard four year degree. While studying, you can pursue a Masters in Accounting or an MBA as well.
Most universities pride themselves on job placement for their graduates. If you are able to go back to school, you may be able to find job opportunities through a university career services office. This would be one way to gain some experience while also improving your qualifications.
The temp agency route is definitely a solid route, however they may require experience (from my experience in IT). It's one of those common catch 22 situations. Internships is a great starting point as well.
I cannot emphasize enough the importance of professional networking. Many campuses have organizations that promote career development and networking.
"Get a job", as others have suggested, doesn't seem like a very helpful response to me. When I graduated with a degree in Management, it took me 9 months to find a job. What ultimately helped me was applying at places that were familiar with my school.
Another route that helped me later on was taking a "temp" job that turned into a full-time job within a few months and then turned into a promotion a few months after that. I would definitely recommend researching accounting temp agencies in your area and see if they can help get you placed somewhere that you'll get that vital first bit of experience.
I would recommend looking for a part time job or even a full time job with light work load that will allow you to ease into the practical details of work. You can also look in to possibly getting an internship. Another avenue you can explore is volunteer work for non profit organizations where you can work your way towards more experience, which might not be as much as a full time job, it will still give you the necessary exposure to your field.
There are plenty of opportunities for someone with a degree in accounting. I would find a firm to work for and try and get your experience that way.