How the matching works
First, hard filters. Your lightest cat must be at or over the box's minimum weight (we skip boxes with no published minimum for cats under 5 lb), your heaviest cat at or under its maximum, and your number of cats within its rating where one is published. Litter must match: crystal means PetSafe's ScoopFree trays; clumping excludes them; tofu keeps boxes known to accept it plus those with no stated restriction. Then style, the app requirement, a 22 × 25 in footprint limit for tight spaces, and your budget.
Then we rank what's left by our Guide score, with small nudges: cheaper boxes that do the job move up; boxes whose entrance is confirmed to stay open during the cycle get a bonus; for noise-sensitive homes, boxes with a published figure of 35 dB or less get a bonus and those over 45 dB a penalty. Noise figures are maker claims. For big cats (15 lb or more) we favor entries of at least 10 in on both sides.
The whole globe turns slowly after each visit, sifting clumps through a screen into a drawer below. The best-known design (Litter-Robot). Large entries, but a tall unit.
Litter-Robot 4, 5, EVOA drum on a base tilts or turns part-way to sift, then returns. Most PETKIT and many Amazon brands. Good ones keep the entrance open the whole time.
PuraMax 2, Purobot, Leo's Loo Too, SmartSpinAn open pan that flips or rotates to dump clumps. No hood to squeeze through and no door to close; more litter scatter.
Neakasa M1, LesureA rake sweeps waste into a covered trough on a disposable crystal tray. Nothing encloses the cat, but you buy trays forever.
ScoopFree Crystal Smart, ClassicAvoid designs with a door or a front that closes during cleaning: if a sensor fails, a cat can be trapped. More in are self-cleaning litter boxes safe?
A worked example
Three cats, the heaviest 16 lb and the lightest 8 lb, clumping clay, either style, no budget limit. The Litter-Robot EVO drops out (two-cat limit). So does the ScoopFree Crystal Smart, on both counts: crystal trays only and a two-cat rating. The boxes with no published cat count stay in with a note to empty them more often. The Litter-Robot 4 leads, with the large-entry Purobot Max Pro 2, the open-top Neakasa M1 and the Litter-Robot 5 close behind (the LR5's higher price costs it a little in the ranking). Set a $450 budget and the Neakasa M1 moves to the top. Tick "Tight space" instead and the Litter-Robots (22 × 27 in) and the Purobot Max Pro 2 drop out, leaving the Neakasa M1, Lesure and PuraMax 2 on top.
The matcher is a shortlist, not a verdict. Check your cats in the safety checker, run the cost calculator, and read the reviews. If you have several cats, remember that one automatic box doesn't replace the one-per-cat-plus-one rule.