Pneumatic hammer aka air hammer. DA sander.
Pneumatic hammer can be replicated by an SDS drill with rotation stop, but you get a much better power/weight ration from pneumatic.
DA sander, not so. Look up Mirka Deros. Yes, it's spendy, perhaps even double the price of a good DA, BUT it is every bit as good as the best DA out there.
For me, a DA is my biggest consumer of air. If I were building a shop from the ground up, I'd consider going with one of these and a small compressor, rather than my 80 gallon monster and a Dynabrade DA. The difference in the compressor cost easily offsets the more expensive sander.
Air jackhammers
Blowguns
Air nailers
Air Impact Wrench (heavier blows, fast removal)
And for big industrial applications use hydraulic stuff.
Ever see a Bosch Brute? No, it's not nearly as good at breaking pavement as a 90lb pneumatic hammer, but it doesn't require a towable compressor to back it up either. My Makita HM1301 will still tear apart a sidewalk with ease.
Blowguns have been answered above.
Air nailers: you've never seen a Paslode?
Impact wrench: the battle of cordless vs pneumatic has been fought out before. Everyone has their preference.
There are answers for everything, but for me, I'm still sticking with pneumatic. But it only works for me, because I've got a huge air source. Here's my reasoning:
1) pneumatic doesn't overheat from overuse
2) pneumatic can work in the nastiest of environments (in grinding dust, and underwater for example) that would kill motor brushes. Yes, brushless is close, but can still be clogged with dust
3) pneumatic works even in the dead of winter in an unheated shop, when batteries may not fare too well
4) pneumatic is easy to service and lasts many decades; buy once...
5) pneumatic generally puts more power in your hand with a lighter tool (except maybe a cordless drill or angle grinder).