Assuming you already have the necessary interface/multitracker, an SM57 is the obvious suggestion. Some people prefer to use an LDC though.

What is your full setup?
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+1 SM57. Good, cheap, reliable.

Or even cheaper, go straight into audio interface. (edit: assuming you already have one.)
The Sennheiser e609 is about $109 new at Guitar Center of Musician's Warehouse. Great for live too. Plus you can hang it in front of the amp if you like.
The 57 is great too, plus you can use it for other applications such as miking a snare or horns. They're unidirectional so you won't get as much unwanted noise.
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Both the 57 and the 609 would be your best bet, I lean more towards the 609 personally for a guitar amp, but both would be a great choice
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Quote by CaptainAmerican
I would recommend the marshal MG100

Very versatile and quality sound. It should treat you well