The PAS has produced a guide to the recording of pottery vessels which can be downloaded as a pdf here: PAS Pottery Recording Guide.

Other ceramic items (clay pipes, ceramic lamps and moulds, kiln furniture and so on) are briefly noted towards the end of the Pottery Recording Guide, with recommendations as to the object type to use.
Object types to use for other ceramic objects
As a quick aide-memoire, here are some object types that can be used for some non-vessel ceramic objects (see pp. 43-49 of the Pottery Recording Guide for more detail):
Clay tobacco pipes: PIPE (SMOKING)
Pipeclay figurines: FIGURINE (as long as they are humans or animals)
Dolls: TOY
Wig-curlers and hair-curlers: HAIR CURLER
Moulds: MOULD or COIN MOULD
Lamps: LAMP
Candle-holders: CANDLE HOLDER
Curfews: FIRE COVER
Crucibles and cupels: CRUCIBLE and CUPEL respectively
Briquetage: BRIQUETAGE
Kiln furniture: KILN FURNITURE
Spindle-whorls: SPINDLE WHORL
Loomweights: LOOMWEIGHT
Other weights, often Bronze Age or Iron Age: WEIGHT
Object types to use for ceramic building materials (CBM)
Ceramic building material has a short section in the Pottery Recording Guide as well (pp. 50-54). Here are some object types to use:
Field drains: DRAIN PIPE
Roof tiles (including imbrex, tegula and antefix): TILE
Floor tiles (including pamments, pavers etc): TILE
Roman brick used for levelling courses, hypocaust supports or walling: TILE (this is following York Archaeological Trust CBM conventions, available as a pdf here)
Tesserae, even if made from brick or tile: TESSERA
Other Roman CBM, of unidentified function: BRICK (this is following York Archaeological Trust CBM conventions, available as a pdf here)
Medieval or modern brick, including malting brick: BRICK
Daub: DAUB. This term has historically not been available, and recorders have used ARCHITECTURAL FRAGMENT; but we have asked for it to be replaced on our wordlist, and this should be happening soon.