I'm looking for an upgrade from the Nikon D60?

I have been interested in photography my entire life and have been using film. I bought a Nikon D60 because it was supposed to be a good starter camera, but I'm not really pleased with it, it doesn't do all of the things I would like it to do. What are some good camera options where I can really explore photography?

Before you upgrade, you need to list down what you want which the D60 is not able to do. Next list down the features that the D60 have that you like and would like to have in your next model. This will give you a list of requirements which you can compare the different models have.
If you already have a lot of Nikon accessories - lens, flash then starting off with the higher end Nikon models. You will also be familiar way which Nikon implements their controls and it will be less of a pain to learn how to use the new camera. If the ergonomics of the Nikon is one thing that you want to change, then by all means look at alternative brands like Canon, Sony, Pentax etc.
Going back to the Nikon series, if you have a good budget, the D7000 is a good camera to consider. It is the latest body to come out and could be considered an upgrade path for the D60. The D300s is slightly dated but has a large feature set and the image quality is superb. Higher up the chain will be the D700 which is full frame. I would not recommend this unless you really have a generous budget and into serious photography.
In you buying decision, always leave a sum for lenses which is the key to image quality. If your current disappointment is with image quality, consider getting a good quality lens to use with your D60. This could be the solution.

That depends on your budget and what you are trying to do. I recommend trying the Nikon D7000. If you buy one you can use the same lens that is on your D60, get higher resolution, and get HD video too. In order to give further detail to this answer we need to know what you want to do.

The new Nikon entry level camera that replaces the D60 is the new Nikon D3100.
The next level up from the D60 (formerly the D90) is the new D7000. Buying a D7000 will elevate you to the next level of dSLR.
There are really about six levels of Nikon dSLR's
D3100, entry level. Less than $1, 000
D7000, advanced amateur dSLR. Between $1, 000 and $1, 500
D300s, professional level cropped sensor dSLR. $1, 700 body only
D700, entry level full frame dSLR. $2, 700 body only
D3s, professional full frame dSLR. $5.200 body only
D3X, professional studio dSLR. $8, 000 body only
The next camera you buy will have more to do with what the next five years looks like to you and your growth as a photographer.
My guess is you will either want to take the next step and buy the D7000 or just take the next technical advance, but remain at the entry level and by the D3100. Whichever you choose, you will have the only dSLR's capable of using auto-focus in the video mode.

The Hasselblad H4D-60 has an ISO range of only 100-800.It's shutter speed goes only from 32s to 1/800s. The lenses it uses rarely open up beyond f/3.5. Yes it does have a sensor the size of a truck (so to speak) but why is it still much better (and cost around 40 thousand dollars higher than the more popular Canons and Nikons)? Spec-wise, it sucks.
The camera is just a tool. All dSLRs are basically the same from the Hassy H4 series to the Sony a230.It's just knowing how to use it properly.
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