An all time favorite that some families are still doing today that families were doing twenty and thirty years ago, you drive down the road and starting with A, you look at the different road sign and find a word either beginning with the letter you are on, or a word with that letter in it. This game can be fairly easy at first and then when you get to the letters like Q, X and Z, those can be a little bit harder to find. This game can be done by just the kids, or as a family.
A newer idea that families have made a game out of, is grocery shopping. When you have little kids going to the store with you, it can sometimes be an absolutely exhausting experience. If you have kids that are in the beginning reader group, you can have them read what is on the grocery list and have them help you find the section of the grocery story that the item will be in and read the different containers to find the item that you are looking for. This can be such a rewarding experience for everyone involved. The little kids will feel a sense of accomplishment and the older siblings and parents can show the little kids just how proud they are of the little kids for being about to read the grocery list and find the item that is on the list in the grocery store.
Another activity that is pretty much considered a game is summer reading programs that are offered in most elementary schools as well as at your public libraries. They way that it works, is that you get a check off sheet from your teacher or from the Librarian at the Public Library and typically for every ten minutes you read you get to color in a section on the paper or write down the name of the book and its author. Once all of the spots are filled in, you can take the paper back to your school or to your Public Library and get a special prize. Some groups might have it set up that after you have claimed your prize; you can even get another sheet and start all over again.
You might even be able to promote reading skills with things like a chore chart at home. Sit down as a family and talk about the daily chores that need to be done at home and make up lists for everyone in the family that is responsible for a different chore. Once someone has completed a chore, they go to the list and they have to read where their chore is listed and they can either get a sticker or maybe even something like a gold star next to their completed chore. At the end of the week or end of the month, you can tally up the number of stickers and have a reward sheet that the child can redeem those stars for. This can be anything from a special dinner request to a movie rental, or maybe even a sleepover.