Go on the Apple app store and search for "lemmings". I found quite a few games that were all based on this premise, the biggest one being "Flockers" by Team 17 (the same people who made "Worms").

Maybe it's more popular than you realized?

It may be! My belief stemmed from the fact that I've heard of no break-out success herding games besides Lemmings itself. Nobody has gotten rich by making a herding game. There is no herding game with merchandise. Etc.

There's a long-running genre of herding things. It is almost always made by UK developers, and is almost always about herding sheep. Usually it's mostly about moving your sheep-repelling character so as to make most of the sheep go where you want to, and usually it's played from a top-down view. Do a Google Images search for "herding game" and you will see a ton of 2D shepherd games. There have been some 3D herders as well.

Lemmings stands out because it's got you herding around something besides sheep. There was a burst of Lemmings-likes on the Amiga that had you herding various other little hapless people, I think there were even a few that gave your little helpless people weapons and made you herd them around to defeat an enemy horde.

Whistler's Brother (Br0derbund, c64/Atari - https://www.youtube.com/watch?v=lT32TokTYqc) definitely felt like it was an earlier member of the same genre despite you only having to herd one guy around. Possibly because, like Lemmings, it's from a side view.

It feels like I see a Lemmings-like (side view herder, probably without any avatar of the player) every few years. Always from teams with small budgets; nobody has figured out how to justify an AAA herder. I think the last attempt at that I heard of was Core's "Herdy Gerdy" on the PS2. (Which now that I dig up a video of I think I may need to emulate. It looks SUPER CUTE and SUPER CHILL. https://www.youtube.com/watch?v=SP24_EYuKJE)

"...I think there were even a few that gave your little helpless people weapons and made you herd them around to defeat an enemy horde."

So, like Myth: The Fallen Lords? I loved that game, almost as much as I loved Lemmings.

Maybe a little? That one looks like it's over the line into RTS rather than "save these cute idiots". I'm thinking of half-remembered games that I only ever saw as screenshots in imported issues of Amiga Power.

There were a number of Lemmings clones at the time. Troddlers being a favorite. However, there was so much activity around the Lemmings property itself at the time, that I conjecture the real reason we didn't see more exploration of that space was that the market was burned out on it, and then it was forgotten. Definitely a lot of potential in those mechanics.

I agree, there is a lot more unexplored territory! Lemmings was definitely one of our inspirations for World Zombination. Specifically, the zombie drones that you mutate into special units with different abilities. http://worldzombination.com/

A more recent and relatively successful game in which you don't really control the units is the Majesty series. However, the AI is more sophisticated and the units are trying to be D&D-like adventurers, your main way of control are bounties you place (eg for killing a monster).

I think Pikmin (by Nintendo) is a herding game as well. Never really played it though, just seen tidbits (got Pikmin 3 free I think on Wii U when I registered Mario Kart 8, still haven't tried it!).

There was a great multiplayer Dreamcast game called Chu Chu Rocket which I'd put in this genre.