First, I'm not aware of any setup that will capture full 1080p... though plenty will capture 1080i.
Second, all of the internal cards that capture 1080i are PCIe based, not PCI though one solution I offer is USB based.
Third, products that capture HDMI signals are generally limited to non-HDCP HDMI signals. For example, the HDMI out from a home video camera or possibly capturing HDMI gameplay on an Xbox. Protected HDMI from a DVR will prevent HDMI recording directly. Circumventing copy protection is frowned upon here at Tom's, so the advice I'm giving you is directed towards your VHS capturing project (though they are capable of other projects that you may wish to indulge in).
That being said, I suggest you look into the following products:Hauppauge HD PVR
captures 1080i over component, connects via USB.Hauppauge Colossus
Not yet released, but coming soon. This is a PCIe version of the HD PVR above. It captures 1080i through component.