Here are some popular stitch bedding set made with sensitive skin-friendly materials:
Bamboo/Tencel sets
Soft, breathable fabrics that wick moisture and hypoallergenic.
Supima cotton sets
Very fine, long-staple cotton is softer and stronger than typical cotton.
Linen sets
Made from breathable, durable flax fabric that regulates temperature.
Eucalyptus fabric sets
Naturally antimicrobial with cooling properties from tree fiber content.
Sateen weave cotton sets
Finer weave is smoother than percale against skin.
Microfiber sets
Extremely soft, quick-dry synthetic won’t harbor allergens like natural fabrics.
Some highly-rated brands offering these include Brooklinen, Boll & Branch, Parachute, Buffy, Coyuchi, L.L.Bean. Look for quilted designs instead of thickly-stuffed for better breathability. Make sure dyes/chemical treatments are labeled sensitive/hypoallergenic. These fabrics drape comfortably while reducing irritation risks. Bonus points for stitching/hemmed edges instead of binding.