Which doorbell cameras work without a subscription?

This is the part people find out afterward. A camera can be cheap to buy and still cost you every month, and the difference is whether it can record to something in your own house. Here is where each maker stands.

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The catch that is easy to miss

"Works without a subscription" and "works out of the box without a subscription" are not the same sentence. Blink can record locally, but only with the right Sync Module and a drive or card, and neither comes in the doorbell box. Budget for those the way you would budget for the camera.

All of them will show you a live view and let you talk to whoever is there. What varies is whether anything is recorded. Cameras that save to a memory card or a hub in your house keep working for nothing. Cameras that only save to the maker's servers stop keeping video when you stop paying.
Ring lists video recording itself among the things a plan buys, so without one you get the live view and the notification but no saved clip to go back to. That is the trade to understand before you buy, not after.
Wyze records to a microSD card in the doorbell, and REOLINK records to a card, a hub, an NVR or a network drive. eufy leans on onboard storage or a HomeBase depending on the model. Check the specific model, because makers change this between products in the same range.
Usually over a few years, yes, but only if you count the extras. A card or a hub is a real cost, and with Blink the Sync Module and the storage are both sold separately. Add those to the price of the doorbell before you compare.
Sometimes, and it depends entirely on the model and not on the brand. Some doorbells have a card slot that is simply empty, some need a separate hub, and some have no local option at all. The maker's own spec page for your exact model is the only reliable answer.

The ones that record on their own

Dual-lens wired doorbell outside a door with its chime plugged in indoors
Wired

eufy Video Doorbell S330, wired, dual camera

A wired dual-camera unit with a second lens aimed at the step. That is the fix for the parcel blind spot a single wide lens handles badly. Check the wiring before anything else. It wants 16 to 24 volts at 30VA. That is well above what an older bell transformer supplies, so a healthy 10VA unit still will not run it. A chime is included, and it does not work with a eufy HomeBase.

Battery doorbell outside a front door with its chime plugged in indoors
Battery

eufy Video Doorbell 2K, battery, with chime

Battery like the Ring, but it records to a 16GB card in the chime that comes with it. No monthly fee, which is the whole reason to look at it. The storage sitting indoors rather than in the doorbell is the part worth understanding: taking the doorbell does not take the footage. That included chime also sidesteps the wiring question that breaks most installs, and the doorbell will run wired if you would rather not recharge it.

Storage glyph for SanDisk 256GB High Endurance microSD card
Storage

SanDisk 256GB High Endurance microSD card

The card for a camera that records locally and is not a REOLINK. High-endurance cards are built for the duty a security camera puts on them, which is writing continuously and overwriting forever. That is a different job from holding photographs. Check your camera's maximum capacity before buying this size. A card larger than the model accepts is not a card that works slowly, it is one that does not mount at all.