Examples include the Baptist, Methodist, Presbyterian, and Unitarian denominations, and the Quakers (formally, the Society of Friends).
However, any baptisms and burials (or equivalent ceremonies) from other denominations might take place within their own churches and chapels, and these were often recorded in their own nonconformist registers.
Occasionally marriages in places of worship elsewhere might also be recorded (sometimes involving more than one ceremony), although such entries originally had no strict legal status.
Some local chapels promptly abandoned keeping their own registers, at least for a while, after this date (which coincided with the start of civil registration in England and Wales).
However different churches operate different policies, and it will often be found that rates of creation and survival for such records are less good than for other types of parish register.