ISO 22877:2004 - Vocabulary, recommended symbols and multilingual dictionary
Defines terms and symbols relating to castors and wheels.
ISO 22878:2004 - Wheels and castors - test methods and apparatus
Specifies the test methods and apparatus to be used to check the performance of castors and wheels.
ISO 22879:2004 - Wheels and castors - Castors for furniture
Specifies the technical requirements, the appropriate dimensions and the requirements for testing for castors for furniture. It is applicable to castors for general furniture applications, but specifically excludes those for swivel chairs and other specialized applications.
ISO 22880:2004 - Wheels and castors - Castors for swivel chairs
Specifies the technical requirements, the appropriate dimensions and the requirements for testing of castors, with or without braking devices, that will normally be used on swivel chairs.
ISO 22881:2004 - Wheels and castors - Wheels and castors for manually propelled institutional equipment
Specifies the technical requirements, the appropriate dimensions and the requirements for testing of castors and wheels that may include braking and/or locking devices, specifically for manually propelled use in an institutional environment. This includes, for example, shops, restaurants, hotels, educational buildings and hospitals.
ISO 22882:2004 - Wheels and castors - Hospital bed wheels and castors
Specifies the technical requirements, the appropriate dimensions and the requirements for testing of swivel castors for hospital beds with a wheel diameter of 100 mm or more, and which have a central locking device.
ISO 22883:2004 - Wheels and castors - Wheels and castors for applications up to 1.1 m/s
Specifies the technical requirements, the appropriate dimensions and the requirements for testing of castors and wheels (which may include accessories) for manually propelled or power-towed industrial applications up to 1,1 m/s (4 km/h). It is not applicable to castors and wheels for furniture, swivel chairs, equipment for institutional applications, hospital beds and driven applications.
ISO 22884:2004 - Wheels and castors - Wheels and castors for applications over 1.1 m/s and up to 4.4 m/s
Specifies the technical requirements, the appropriate dimensions and the requirements for testing of castors and wheels (which may include accessories), specifically for manually propelled or power-towed industrial applications at speeds over 1,1 m/s (4 km/h) and up to 4,4 m/s (16 km/h).

There are also specific legislations dedicated to specific applications which regulate in Europe use of wheels and castors in these fields. For example:

UNI EN 1004:2020 - Mobile Access And Working Towers Made Of Prefabricated Elements - Materials, Dimensions, Design Loads, Safety And Performance Requirements
Paragraph 7.5 of this standard defines features of wheels and castors fitted to mobile scaffoldings and towers.
UNI EN 840-5:2004 - Mobile Waste Containers - section 5: performance requirements and test methods
Paragraph 4.9 of this legislation is dedicated to waste collection containers wheels and castors.