Reading - free books at the public library
Playing with kids - public parks are also free
Just ask yourself what families did for entertainment before all those pricey little electronic gizmos existed, and go do that.
When we were kids, my parents took us to the Point Defiance Zoo and Aquarium. It's not free anymore, it's not even free to get into the park and forget about the gas to get there.
We played pick up at the local baseball field, now it's locked and the only people allowed to use it are organized sports teams.
We picked berries in the local field, now it has homeless living there and parents won't let their kids go there.
Camping isn't free anymore....and I don't know of any family tents that cost $40 or less.
We used to swim in the local lake but now it's filled with parasites.
We used to feed the ducks at another lake but now it's completely surrounded by apartments and condos and even if you could get to the lake, it's illegal to feed the ducks.
We used to play kickball in the street, now there's too much traffic, and we even have speed bumps.
We used to collect polliwogs, and play Tom Sawyer at the local swamp, but it's gone too.
books at the local library are still free but they don't have a lot of choices, unless you get online and reserve the books and pick them up later, and of course, you have to have an address to get a library card.
Even the playgrounds at the local elementary schools aren't the same. No slides, no swings, no merry go rounds...don't want to endanger the kids.
You have to wonder about people who haven't noticed how much the world has changed.
What you should be wondering is whether or not you're living in the wrong place, with an insanely negative "I'll find some reason why I can't change things" attitude.
If you don't have an address with which to get a library card, then you have bigger problems than wondering what to do for entertainment besides electronics.
What the hell's wrong with going online and reserving books? The library has computers you can do that on, and also allows you to order them from other branches if the one nearest you doesn't have a copy. Or, at least, my library does.
The parks and the baseball fields and play areas in the parks are still free where I live, and I suspect in most towns and cities. And because Tucson's citizens finally wised up and demanded that the laws and the cops crack down on the homeless problem, most of them are very pleasant, even in the poorer areas of town.
Tucson doesn't have lakes, being in a desert and all, but it DOES have community centers with pools for very nominal fees during the hotter parts of the year.
The largest park in town, Reid Park, has a huge duck pond where people can feed the ducks if they wish. It also has a rose garden where you can wander and see examples of a vast variety of roses (quite pretty and peaceful), and a band shell where you can see concerts and Shakespeare in the Park. The zoo is there, and while it's not free, it's not expensive. When I had just my first child, twenty-some years ago, we used to save up a little every week so that we could go to the zoo every so often.
All of the elementary schools in my city have really spiffy play areas. My kid loves 'em. Of course, Arizona's not as dumb and paranoid as some places.
I also used to take my daughter to wander the shopping malls. Most of them have play areas, and once I had it through her head that we weren't buying, but just browsing, she had a great time. The important thing to her - and this is the operative point that people forget - was that she had my undivided attention for the entire day.
I suggest you use some of the imagination you're spending on making excuses to think of ways to enjoy life without big bucks, and possibly investigate living somewhere more amenable to a simple lifestyle.