I don't generally think of certain cartridges being special, but on consideration I suppose I can think of a few that I use more than others: .22 LR, 9x19, .38 Special, .45 ACP and AutoRim, .44 Magnum, 7.62 & 5.56 NATO -- and .32 H&R.
While I like all kinds of cartridges and revolvers, it just happens that .32s are the most numerous in my safes, partly because of a specific niche collecting interest in military revolvers, but also because handloading the ammo is cheap and easy and the light recoil is pleasant. When introducing a new shooter to centerfire handguns, 32 H&R is my preferred follow-on to .22 LR. It has filled a sweet spot for me, though I'll be the first to admit that .38 Special can do some of the same jobs.
My .32 revolvers basically fall into two groups.
There's the .32 ACP/S&W/S&W Long/H&R/.327Fed family:
Those two Soviet Nagants are fitted with a second cylinder, re-reamed from .32 ACP to .32 H&R. They also make an appearance here with my 32-20 and military 7.5-8mms:
I bought a third Russian Nagant SA since this photo. When all else fails, every revolver from this group will function with a single compromise handload made using shortened 7.62 Nagant Gas Seal brass and HBWC bullets. The expanding base of these bullets addresses the larger bore diameter of the 8mm French M92. I use the same .32 HBWC Lapua bullets in revolvers from both groups.
If I ever get my hands on an Austro-Hungarian Rast & Gasser 8mm, it will go into the first group since .32 H&R brass will chamber in its cylinder.
32 H&R is also a great reduced power cartridge for use with chamber adapters in 7.5-8mm service rifles. I have to think a bit to recall how many rifles I've shot .32 H&R through. I think it's 22 at present, but I may have overlooked a couple.
This, of course, brings up a couple of other questions:
Why shoot with chamber adapters? Because my indoor range permits pistol-caliber carbines but not highpower rifle use. Also, the quiet report and non-existent recoil makes shooting old milsurp rifles pleasant and fun. They'd no doubt make an excellent short range small game option in certain circumstances.
Why not shoot at a proper range that allows highpower rifle use? The nearest one of those requires an additional hour of driving, and too I'm old and lazy to do that very often.