Absolutely, at a minimum wire it with CAT5e or CAT6 (not 6A). Run a few extra lines to distant areas of the house and garage to use to attach wireless access points so that you have a real good wireless coverage.
Wireless does a very poor job with all the devices now in use because the bandwidth is so limited, so leave the wireless to connect phones, laptops and the like.
I would also run coaxial as it is cheap and easier to attach many TVs throughout the house.
If you want sound throughout, then run the sound cable (18ga lamp wire will do fine).
HDMI I consider optional unless you have already defined uses for it, as it does poorly over long runs and you can always just run an extra Ethernet cable and use HDMI over Ethernet...