Can I use aerofly5 with a plasma or a LCD display, as is commonly found in living rooms?

Yes. Plasma or LCD displays normally have an HDMI input plug. Actual graphic cards are supplied with a DVI or already with a HDMI interface. In both cases you need a lead (HDMI - > HDMI or DVI - > HDMI), which is available in well stocked elctronic shops:

aerofly5 is already supporting screen resolutions higher than the standard, specified as „FULL-HD “(1920 X 1080).