I found plenty of air fryers with real family capacity. Two standouts are the Ninja Foodi 8 qt dual basket, which cooks two foods at once, and the Chefman 6 qt dual basket for a lower price. The Ninja Air Fryer Pro 5 qt is a good single-basket choice. Tell me your budget or whether you prefer one basket, two baskets or an oven style, and I'll narrow it down.
Dual basket for family meals
Two baskets let you cook a main and a side at the same time.
Ninja Foodi Dual Basket Black 8 qt Programmable Digital Air Fryer
8 qt with two baskets and DualZone technology, built for feeding a whole household.

Chefman TurboFry 9 Qt Dual Air Fryer, Maximize The Healthiest Meals With Double Basket Capacity, One-Touch Digital Controls And Shake Reminder For The Perfect Crispy And Low-Calorie Finish, 9 Quart
9 qt double-basket capacity with digital controls and a shake reminder.

Chefman Dual Air Fryer Oven with DC Motor, 9 Qt. Double Basket Air Fryer with 450°F Max Temp for Meals in Minutes, Bake, Broil, Dehydrate, Reheat for Extra-Crispy Chicken, Fries, and More - Black, 9 Quart
9 qt double basket with a 450°F max temperature, plus bake, broil and dehydrate modes.
Better Chef Dual Basket 9-Quart Digital Air Fryer - IM-438S
9 qt dual basket with digital controls, a roomy option for four.
Best priceCHEFMAN 6 Quart Dual Basket Air Fryer Oven with Easy View Windows, Sync Finish, Hi-Fry, Auto Shutoff, 2 Independent 3Qt Nonstick Dishwasher Safe Frying Baskets, Digital Double Air Fryer - Black
Two independent 3 qt baskets with Sync Finish, at a modest price for a dual unit.
WestBend Touchscreen Dual Basket Air Fryer w/ 15 Presets and Easy-View Windows, Black, 10 Quart, AFWB10BK13
10 qt dual basket with 15 presets and easy-view windows.
ESTASSAY 9.5 Quart Large Dual Basket Air Fryer with Double Basket, Independent Temp Control & Sync Mode, 10 Presets (Bake/Broil/Defrost/Dehydrate), Shake Reminder System, Compatible for Plug for Appliance
9.5 qt with independent temperature control and sync mode, the priciest dual option here.
Large single and multi-zone fryers
Big-capacity air fryers from 5 to 14 quarts.
Ninja DoubleStack™ 8-qt. 6-in-1 Two-Basket Air Fryer - SL201, Color - Color - Size: One Size
Ninja DoubleStack 8 qt two-basket design with 6 functions.
Cuisinart® 11-qt. Dual Basket Air Fryer, None - None - Size: 10 QT
11 qt dual basket with Sync Finish so both dishes are ready together.
Ninja® Foodi® 6-in-1 DualZone FlexBasket™ Air Fryer with 7qt MegaZone, Color - Color - Size: One Size
7 qt MegaZone with FlexBasket, suited to cooking for a group.
NuWave Pro 8-qt. Air Fryer, Black - Black - Size: One Size
8 qt single basket with one-touch digital functions at a moderate price.
Ninja Air Fryer Pro 4-in-1, 5 QT Capacity, Nonstick Basket & Crisper Plate, Color - Color - Size: One Size
5 qt Ninja with nonstick basket and crisper plate, a sensible entry size for four.
Chefman 14-Quart Multifunctional Air Fryer & Dehydrator, Black - Black - Size: 14 QT
14 qt multifunctional air fryer and dehydrator with lots of room for batch cooking.
Air fryer ovens
Oven-style units for whole chickens, trays and bigger batches.
West Bend 15-qt Air Fryer Oven with 16 Presets, Black - Black - Size: One Size
15 qt air fryer oven with 16 presets, good for family-sized batches.
Gourmia French Door Digital Air Fryer Oven, Silver - Stainless Steel - Size: One Size
French door oven that fits a 12 inch pizza or a whole chicken, with 14 presets.
Chefman French Door 25-Liter Air Fryer Oven, Black - Black - Size: One Size
25-liter French door air fryer oven with plenty of room.

Kismile 12-in-1 Air Fryer Toaster Oven Combo, 23QT Convection Oven
23 qt 12-in-1 combo oven with air fry and convection functions.