It took sometime but we have finally a pretty well prepared diaper bag. Here are majority of things we carry other than diapers and wipes:
Spoons and forks for toddlers
We use something similar to like this.
Dogie poop bags
Dogie poop bags are very helpful when you change diaper at someone else’s house. (Affiliate link).
Neosporin and bandages
Emergency Backup Toys
Book or two
Snacks & water
We carry something easy to eat like Z-Bars in addition to real food.