So what kind of bike takes a suspension fork? The answer is, they usually come with it. That seems glib but it's true. In the mass market there are several kinds of bikes aimed at commuting, and the ones sold as "rugged" or the ones sold as "comfortable" often do. So do a lot of e-bikes.
Rugged: here is a Trek Dual Sport 4 with a nicer than usual Suntour fork. The sales pitch is pretty much the same as it is for an SUV.
Comfortable: here is a Raleigh Venture. Note also the spring seat
and sprng seat post. No damping in any of them! A bike like this can be very comfortable for occasional short jaunts, and its natural habitat is on the back of an RV. In daily commuting use it might come up short in a lot of ways.
It's probably not a good idea to put a suspension fork on a bike not designed for it. They have more stack for the added height under the headset. Mountain bikes also have reinforcements for the head tube, though I couldn't say about that Raleigh. When a bike is designed to have a suspension fork it is referred to as "suspension corrected" and a rigid fork for that bike will be extra long. A good example of this is the Surly Karate Monkey, especially if compared to a Bridge Club, which is not. You can see that the KM fork is extra long to provide tire clearance and its head tube is extra short to keep the stack under control. There are other differences here too - the BC has a narrower head tube that will only allow a 1-1/8 steerer while the KM has a wider head tube for a 1-1/2 tapered steerer. The BC will get you a little more room in a frame triangle bag. Surly began a few years ago differentiating their bikes into "trail" with suspension correction and big head tubes, and "touring" which are not.
Generally drop bar bikes are not rated for suspension forks, but that is not to say you can't have a drop bar. As in the example above from [MENTION=22522]mtbikerinpa[/MENTION], you can find a way to put drop bars on a mountain bike. There are also bikes designed specifically to have both, Probably the best known of that type is the Salsa Fargo, which held the category for a while, and has lately been joined by the Cutthroat, a carbon fiber adventure racing version. These are both able to take 29er forks with 100mm travel.
There are also a few forks specifically designed for
road gravel bikes. The Lauf Grit and Fox AX forks might void your warranty but they are not going to upset your bike too much. The AX is a short travel variant of the most premium Fox 32 XC racing fork. An older 26er or 27.5 XC racing fork with the travel reduced might also be a good bet. The Grit is an odd design with carbon fiber leaf springs.