As Joe Strazzere pointed out, you shouldn't tell your boss anything. I wouldn't exactly ask, but instead make an offer to your boss. Pick the most interesting project amongst those you were offered. Tell your boss that of the projects offered you find the xyz project the most interesting. Tell him that you think you would do a great job on it. In the same conversation (either via email or phone) also mention to your boss that you've completed substantially larger projects than that and that if there are any larger projects that you would be glad to take that on instead. As an alternative, you could think up a project that you feel would meet a need that they have and offer to do that project for them.
In order to get the outcome that you want, it's very important that you approach everything you do from an angle of "What are the bosses needs that I can help meet?" and not from the angle of "What are the needs that I want to have met?"
This all hinges on how the boss really views working with interns. Does he think "Oh crap, we're going to have four interns this year, and I've got to find something for all of them to do." or does he think "Last summer's interns really accomplished some great things. I really enjoy working with the interns." The answer to this question will probably indicate how likely you are to get a different project assigned to you.
I've had interns working for me before who were very talented and I was glad to assign them difficult, meaningful tasks, and to spend as much time with them as I needed to guide them because they were making my job easier. I've also had interns who worked for me who had low skills and low capabilities. For those people I tried to assign much easier tasks that were least likely to require much intervention by me. I still spent time with them when they needed it, but I really tried to minimize it by careful task assignment.
I need to tell you this because it's important to how you are perceived in the company. I clicked on this question to read it because I thought "Here is a student who thinks because he's had a few courses and not much experience that he is smarter than his boss." I expected to be amused by this thread. Instead, I think your desire is reasonable. It is essential that when you offer to do more than the other tasks available, that the boss not hear an arrogant student who thinks he's smart and deserves meaningful work. If you send your request to your boss via email, I suggest you find a friend who has outstanding communications skills (or a business mentor if you have one) and have them review it first.
If you end up having to do one of the tasks on the list, do the best job you can possibly do, then try for a more desirable task as others have suggested.