FTAOD
Anthracite - or 'hard' coal - almost pure carbon, very low sulphur or ash content. Fuel of choice for steam locos, Hard to light but high calorific value [er unit volume.
Dry Steam coal. BR standard train fuel. Not quite as good as anthracite but cheaper.
Both of the above are hard to keep alight in open fires
Bituminous coal - household coal as was. High tar and sulphur content. Easier to light but produces a lot of ash, SO2 and boils of various coal tar like products which may or may not combust depending on temperature and oxygen supply.
Lignite - or Brown coal. Very high impurity levels with lots of tars and sulphur, as well as undecomposed cellulose from organic materials, so naturally Germany is building power stations to burn it.
Peat - dried bog vegetation on the first stages to becoming coal. See above, only worse.
Coke: Bituminous coal that has been heated to remove the hydrocarbon and sulphur content. Almost pure carbon but full of pores so bulky for its calorific value. Used in steel making.
Semi-Synthetic coals plenty of examples of coal dust - usually steam or anthracite - being made into pellets and sold as a smokeless alternative to e.g,. anthracite. Phurnacite being one