Systems that need none: gravity, line pressure, and a tank instead
The other side of the fork trades speed for simplicity. A classic tank-based reverse osmosis system, the design that predates "tankless" as a marketing word entirely, produces water slowly and stores it under pressure in a bladder tank for whenever you open the faucet. Because it isn't trying to satisfy the faucet in real time, it can rely on ordinary household line pressure to push water through the membrane — no pump, no controller, no cord.
The Express Water RO5DX (ASIN B00J2DGTD8) is a straightforward example of this family: a 5-stage under-sink system rated at 50 GPD. That output figure is the tell. Fifty gallons a day is nowhere near what you'd need to fill a glass on demand the way a 450 or 600 GPD tankless unit can — instead, the system spends the hours between uses slowly refilling its storage tank at low pressure, and the tank is what actually answers the faucet when you turn it on. No pump is doing that work, which means no outlet is required anywhere near the install site.
The Frizzlife M800 belongs here too, and it's the more interesting case precisely because it isn't a classic tank system. It's tankless and non-electric, running purely on incoming line pressure at up to 900 GPD with a 4:1 pure-to-drain ratio. It proves the tank isn't actually what determines the power requirement — the pump is — and that a non-electric design and a tankless form factor aren't mutually exclusive, even though most of the market bundles them as if they were.
The practical upside of the whole non-electric category is straightforward: nothing under the sink needs to be within reach of a GFCI-protected outlet, nothing runs 24 hours a day drawing standby power, and there's one less point of failure if your kitchen circuit ever trips. What you give up, generally, is speed on the tank side, or, on the non-electric tankless side, the reassurance of a stated pump spec to compare against.