Your household first aid kit is going to be used and reused more than the others. Because of this it is essentially important that you understand how to use everything in it, and frequently check it to replace any missing items.
Our doctor has also recommended keeping a small bottle of ipecac. This has become quite controversial in recent times. As an EMT in our county we no longer carry it, but are allowed to administer it with direction from Poison Control. It is absolutely imperative to call Poison Control before using Ipecac. Unnecisarily inducing vomiting could damage the esophagus, or even aspiration in a worse case scenario. You can find ipecac at most pharmacies, usually behind the counter.
adhesive bandages in several sizes
antibiotic cream (triple-antibiotic ointment)
antiseptic solution (like hydrogen peroxide)
hydrocortisone cream (1%)
acetaminophen and ibuprofen
disposable instant cold packs
alcohol wipes or ethyl alcohol
flashlight and extra batteries
your list of emergency phone numbers
blanket (stored nearby)