I was removing an old alarm system and I'm wondering where do these two connectors go? They don't seem to plug into anything nearby. I searched the service manual, but to no avail.

 

Those look OEM. Is there anything not working at the moment? Remote dash controls, for the radio, perhaps? Key fob remote?

 

The gray one could be C51 (Honda Accessory) - connects hood switch harness (Honda Accessory) to security system harness (Honda Accessory).
Should be two cavities with a yellow/red wire

I don't believe the brown one is OEM - the only brown connector in that area per the Electrical Troubleshooting Manual is the Under-dash Fuse/Relay Box
Connector B which in typical Honda fashion has a rainbow of colored wires coming from it, not a bunch of red and white wires.

 

Thank you for responding, I drove the car around my neighborhood and everything seemed to work fine. gauges, a/c, radio, control, lights. Im going to put all the plastics back together and take it to the shop for some work. Ill keep everyone posted as to what they are when I find out. Thanks