Dyson's stick vacuum became an immediate legend. The small, cordless form factor made vacuuming much easier when compared to corded ball devices you drag around the floor. Yet there hasn't been too much growth when it comes to Dyson manoueverability since then.
Pretty much every stick vac from the giant is a long stick, a bulbous tank, and an interchangeable head. There are subtle differences, but they're quite standard these days. Their under-furniture cleaning capabilities, and storage solutions aren't great either. You need to get down low and just shove the vacuum underneath, and unless you're able to drill holes in your wall the vacuum doesn't come with any form of storage. Unless you're willing to pay the extra $100+ to get the patented Dyson Dok, which may or may not hold all the attachments.
Shark on the other hand has more of a focus on storage, and manouverability options for a more convenient clean. In the upright vacuum space Shark specialises in Lift Away tanks. These are pretty much what they say on the tin - dust bins that lift away from the main vacuum. Most of these come with a flexible hose which makes it easier to get into tight spaces to clean, and more ergonomical than lifting a whole vacuum cleaner.
Similarly some of the brands' vacuums can fold down for better access underneath furniture, and easier storage. While others come with their own self-emptying dock which acts as both a stand, and an auto-empty station similar to what we see on robot vacuums.
Of course Shark also has the usual stick vacs, but most of these have adjustable heights where Dyson vacuums are a one-size-fits-all deal.