Sewing, knitting, video games, board games, cards, singing, music, reciting poetry, teaching a pet to do tricks.

Those are just a few household pastimes through the ages. Through varying races, cobhas, religions, and cultures, your people may have similar, or very different pastimes. Magic users may perform for one another, or they may have exercises to work at in order to stay in practice. Feathered races might preen after dinner if they are among family. Certain groups may have pre-planned games, songs, or marshmallow toasts, while others may give everyone their own space to pursue personal interests. It may happen that there is a greater contrast in use of free time between classes of living than differing races.

What are some ways that your races and characters use free time at home?

One draws. One didn't have much free time, but she likes cooking. And one doesn't have a home, so she talks to stars and flowers.

You forgot to mention reading! In my country Lukok, noblewomen are generally expected to stay at home all the time, and because most noblewomen have servants to take care of household chores they then have lots of leisure time. One popular way to spend this time is in reading and studying literature. Classic Lukokish literature is very complex and subtle, and makes use of many allusions to other literature and oral traditions; you need a lot of time to properly enjoy a Lukokish novel. Lukokish noblewomen also study and practice many other arts - drawing, painting, calligraphy, composition, dance, singing, &c. Since noblewomen are the main practitioners of most art forms, women are often associated with art in Lukokish culture and philosophy.

In another of my countries, Mirztieken (or more accurately the mountains in Mirztieken, the Sōdacrēn), people spend the long, cold winters telling each other stories, carving, and knitting clothing with ornate colorwork-and-cable patterns.

As for my characters, there's one character I'm working on now who spends his free time researching a way to fix his crippled leg. (He's an incompetent shapeshifter who messed up his leg some years ago and is now trying to learn how to shift it back, so to speak.) And another character from a different story spends his free time coming up with evil plots while pretending to play chess, because he doesn't want to ever actually look like he's thinking over something so he can surprise people more effectively.

Well, it's quite possible that many people in a certain setting are illiterate. For example, a race whose stories are passed down in song.

A great way to spend free time would be having something like a quilting bee, or another type of colonial party. The guys could go and wrestle or something, I dunno.

The men can raise a barn. But that's an outdoor pastime.

There's always billiards or various party games, depending on the occasion. Then there is also the question of whether or not men and women often spend free time together. Some cultures may have designated events or games for mixed company and have segregation the rest of the time, others may be completely inclusive or completely exclusive.