Delivery subscription services such as meal delivery, pet delivery, toy and games subscriptions, and related items have become increasingly popular in recent years. Because this is relatively new, you will not find much info in the industry databases but there are articles about specific companies and company reports. If they are small private companies that do not report info like revenues and sales, that info would be difficult to find. However, other information is available. Check these links below.
Mintel has a Cooking in America report, prepared meal and meal kit report, PetPlace meal service report, Pet food sellers look online report, subscription services covering many topics, and clothing subscription reports. Think about different keywords to get the reports and articles you want such as meal (food. wine, pet food) delivery kits, etc. Also look up individual companies like Blue Apron, Home Chef, Dinnerly, Hello Fresh, Freshly, Green Chef, Every Plate, Sunbasket, etc. Pet food is The Farmer's Dog, Chewy, Petflow, etc. Clothing subscription companies are Stich Fix, Rent the Runway, Wantable Style, Trunk Club, Rocks Box, Menlo Club, Fabeltics, MeUndies, etc.
Check Proquest for articles about different industries and companies.