Personally I've only found a few types of shoes that fit my twins' thick feet without pinching their legs. These slip-ons are very easy to put on and really just slip on. Material is thick, definitely water repellent, haven't tested if they are waterproof (doubtful) and feels very durable.
BILLY Footwear WDR Wide High-Top Classic (Little Kid/Big Kid)
60 Review
π LiteRide Pacer Sneaker Black Boys' Shoes - Crocs Sneakers
55 Review
Okilol Toddler Sneakers: Athletic π Running Shoes for Boys with Style
61 Review
TOEDNNQI Sneakers: Lightweight Breathable Athletic Boys' Shoes and Sneakers for Active Performance
55 Review
Hawkwell Athletic Comfortable Soccer Shoes For Kids - Suitable For Indoor And Outdoor Use, Available In Toddler, Little Kid, And Big Kid Sizes
18 Review
π Highly Durable Kids Running Shoes - WETIKE Boys Basketball Shoes Non-Slip Outdoor Trainers for Girls (Little Kid/Big Kid)
8 Review
Non-Slip PIZOFF Toddler Water Shoes: Quick-Drying Aqua Socks For Beach, Swimming, And Walking Adventures!
3 Review
Premium Genuine Leather Baby Ballet Slipper/Ballet π©° Shoes for Toddlers, Little Kids, and Big Kids
21 Review