There isn't a graphics card out on the market with a PCI interface and that has a built-in HDMI port. You can always buy a PCI graphics card with a DVI port, then buy an HDMI adapter for it (May not work if the card isn't HDCP- High Definition Capable).
Here is a card that features a HDMI adapter (also it claims to support HDMI Outputs/HDCP) the only PCI card I can find.
Be warned.. The reviews are not too great, and the drivers are buggy.
I suggest you get a PCIE Slot. PCI slots are being phased out, replaced with PCIE X1/X4 slots.
And don't get me started with AGP slots... None of the new motherboards have AGP anymore.
Hope that helps.
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