Here are a few images courtesy LRO that are tagged with the word 'market'.
1) Retail fish market. Queen's Arcade from Lime Street. 1946.
2) Old Haymarket c.1900. Fruit seller with his stall. Old Haymarket was demolished to make way for the tunnel entrance.
3) St James Market (?) St James Market was in Great George's Place (now Derby Square). It was demolished in 1899.
4) Old Haymarket 1864.
5) Cleveland Square market. An imaginative reconstruction of what late 18th century Liverpool looked like.
6) Old Haymarket Good street scene - also sign on warehouse 'Lewis Boys Clothing'. 1858.
7) Albion Street/Old Haymarket 1897. Horse drawn transport + in the left foreground a water trough for the horses. This area was demolished to make way for the tunnel entrance.
8) Old Haymarket.
9) Old Haymarket.
10) Old Haymarket. A photograph of Old Haymarket showing Albion Place, which is the narrow lane that leads off Old Haymarket. There are a number of businesses on Old Haymarket including The Liverpool City Caterers Co. Ltd.; Miss Ann B. Stewart, tobacconist; Maurice Rubens, jeweller, who is advertising a closing down sale; Nobblett's Ltd., confectioners; and Central Temperance bar. 1928.
11) Market selling live chickens.
12) Fish Market, Great Charlotte Street 1895.
13) Richmond Fair. This is a reconstruction of richmond Fair in 1787. It was founded as a market for Yorkshire woollen goods.
14) James Street Old Fishmarket 1840.