In a family did every person have a horse? Or was there one "family" horse and they either all got on it or only the father used it?
When did the carriage become popular?
So how far did they go to meet friends? Did people invite each other over for dinner or were there outdoor events that people gathered to watch?
When did the tradition for talking Vacation come in? I imagine regular people from the 1850's would not have taken a vacation for 2 or 4 weeks.
I just realised I went on a bit of a tangent there, but I hope you guys can answer these for me!
You neglected to narrow down your scope but I'll take a quick shot at your questions.
Horses are and were expensive. Depending on the wealth of the family they might have one or several horses, but the vast majority of folks wouldn't have been able to afford such a luxury. So walking. Lots of walking.
Walking is a drag, so people have used wagons/carts/chariots/buggies/carriages/etc whenever their task or financial situation allowed for such measures since almost the beginning of recorded history. Check out Egyptian and Mesopotamian stelae for early conveyances.
Depends on where those friends were. When Tiberius holed up on Capri he was visited by a fair number of Romans who wanted or needed to speak with him, and that's a pretty good trip. Dinner parties were common in Greece and Rome, and homes of the wealthy usually featured a normal dining area and one or more dinner party areas. Find floor plans and images from Pompeii and Herculaneum for some excellent and beautiful examples. As for outdoor entertainment, yes, it was fairly common throughout history. From Classical amphitheaters to the Globe to the good old fashioned French beheading, people have always come together for a good spectacle.
Again this is going to be an "it depends on wealth" sort of answer, so ... it depends. Wealthy ancients would holiday over fairly long distances - it was quite standard for well-to-do Romans to own a villa in Campania (Bay of Naples and surrounding area, south of Rome) and vacation there when time allowed. For your average guy this would have obviously been far too expensive, but even then there were closer options for middle class holidays not too far from the big cities. JPVD Balsdon talks about it extensively in Life and Leisure in Ancient Rome.
Hopefully some other folks can answer the question from a more modern perspective.
What time period are you curious about? I am not qualified to answer the question, but I am sure it will help.