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1. A mesh enclosure, like Antec LanBoy Air. Remove every single fan.
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2. A fanless power supply, like Seasonic X-400.
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3. A gaming motherboard (for heatsinks), like ASUS Maximus V Gene.
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4. A 35W TDP processor, like Intel's i3 2120T or i5 2390T.
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5. A passive CPU cooler like Silentmaxx BigBlock, Thermalright HR-02, Nofan CR-95C, Scythe Ninja 3, or SilverStone's upcoming SST-HE02.
Add some SSD, now enjoy your solid and totally silent pc.