How many generations has your family gone through?

0. :) (Or 1, depending on how you count it.)
I will start the generation cycle when we get University.

I have made it to Gen 3 in every attempt of a Legacy Challenge I have tried in Sims 2. I have tried in Sims 3 and 4 but lose interest quickly. I had a favorite neighborhood in Sims 2 I was going to try a new attempt in on my last laptop but the battery started dying and wiped the save from my hard drive. I was not happy. I am trying again but it will probably take a while (or I may wait until late December) because of a college class that's about to take up a lot of my online time this semester.

Actually I think I have a copy of my neighborhood from my previous laptop saved on a flash drive but I can't find the flash drive.

I think my best was 4, and that's including all games from the sims 2 to 4 X3.
I tend to get bored after the second generation. Also the way the world progression is a turn off after a while because it is also something you need to take care off if you want actual families to thrive and not just single NPCs to replace all premade families that tend to disapear after a while.

I am positive with my actual game though! I have a real progression now unlike my previous game where I tend to make the perfect home right away so I got bored.
This time I started with a couple of outlaws living off the street, made them get a abandoned house when they got the money, and made them become rich through the black market (well, in the story I told myself with the help of a few mods too lol). Then their son married an other troubled kid from the young offender centre and he kept the business with his wife. When they got rich enough they started an underground restaurant for the criminals of the town. Their son (who have a more balanced character) took care of the business as a teenager and made something decent out of it, taking the legacy out of the criminal world. He kinda fooled around in his 20s tought, until he met a much younger girl from a good family who impressed him with her simplicity and intellect. They just had a son and recently got married. Plus, a second baby is on the way! who knows what the 4th generation will bring. Hope won't get bored XD

here is a preview of the house at the start, I try to slowly upgrade it as the generation pass (bonus: the first generation):

https://scontent.fymq2-1.fna.fbcdn.net/v/t1.0-9/44315861_10155624940941237_1164430569556148224_o.jpg?_nc_cat=108&_nc_ht=scontent.fymq2-1.fna&oh=72bb6fadb5f78606d6cd4fe9c04ae8fe&oe=5C566D9F

https://scontent.fymq2-1.fna.fbcdn.net/v/t1.0-9/44290404_10155624939786237_4460400592904257536_o.jpg?_nc_cat=109&_nc_ht=scontent.fymq2-1.fna&oh=934ed1f064608b209865525370485bf6&oe=5C3CE52E

https://scontent.fymq2-1.fna.fbcdn.net/v/t1.0-9/44324832_10155624945821237_8072805707629461504_o.jpg?_nc_cat=109&_nc_ht=scontent.fymq2-1.fna&oh=972407c9b10e821f06944dfe107f89f7&oe=5C416A3B

I installed Sims 4 in August, and currently I'm on Gen 3 (the eldest grandson just aged into a young adult with his girlfriend, and got engaged, so Gen 4 isn't too far away!). To keep it under control I only allow each child to have a maximum of three kids, mainly because I want to play every member of the family and would probably get bored having to play through hundreds of saves ☺︎.

Sims 3: two and if I was lucky, three. Most of the time it would crash around the start of generation 3. Sims 4: I'm on Generation 4 right now. The highest I've ever gotten in this game. I usually lose interest and start a new save or go back to one of my old saves.

The Achievement counter in my game says three but that's because it doesn't count elders and their kids as two generations(if you start a save that way), but I'm getting closer to having six generations and just welcomed the sixth child in fifth generation! Like the previous generation, it's equal numbers so far..... Until Finley Parker and his cousin Omar are both married. So far, they don't have wives or kids.

Gen 4, but it has been difficult to stay interested. I find myself repeating things over and over again. I want some ways to spice up my game a bit?

Here's the family tree for my sims.

@HillyBeth I had a sim named Genevieve, too! Also, this is really long- I'm thoroughly impressed.