I play mainly with a Gibson Les Paul Studio, through a line six spider 3, and all though I can get a not bad sound, because I play through headphones it's not as good as it could be.

Sometimes there just seems to be too much string noise, and it's not because I'm not muting strings I'm not playing because I am, it seems the muted strings makes way too much sound because it's being played through headphones.

So what can I do? The headphones are far from the best, but what can I do to get a more of a "amp" sound. Better headphones? Anything else that can help?

headphone amp. try Vox amplug or a multi-effects like a cheap Zoom.

EDIT : you can hook a headphone to a multieffects pedal. the amplug is good too.
Ibanez RG321MH (Air Classic/Tone Zone)
Fernandes Telecaster (Twang King/stock bridge pickup)
Blackstar HT-20 (Scumback 55 speaker/ Tung Sol tubes)
TC Electronic Nova Repeater
Lava Cables Clear Connect, Soar and Mini ELC
closed ear headphones with at least 150ohm drivers
ESP Eclipse with blackouts (Snow White)
Taylor 814ce (tabacco sunburst)
Dean Dime o Flage
Spider valve mkii
Fender Super Reverb
Peavey Vypyr 15
lmao, i blow up all my headphones when i plug them in! lol
Peavey XXX combo *upgraded screen resistors, Tung-Sol's, and 6L6's*
Schecter Syn Std. * modded, scalloped, and worn*
Schecter C-1 Elite *still sexy*
Ibanez AEL 12-string

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