I know that many of these airline's have already been mentioned but here's a list of the Spanish airline's that previously flew regular charter flights between the United Kingdom and Spanish destinations from 1960's onwards. I'm including IBERIA as they flew regular charters on behalf of several British tour operators.
Some of the listed airlines rebranded such as IBERWORLD into ORBEST. AVIACO was a wholly owned subsidiary of IBERIA.
AIR EUROPA..Founded in 1986, still in operation
AIR SPAIN.. Founded in 1965, ceased operations in 1975
AVIACO.. Founded in 1948, ceased operations in 1999
BCM AIRLINES..Founded in ?, ceased operations in ?
CENTENNIAL AIRLINES..Founded in 1993, ceased operations in 1996
FUTURA INTERNATIONAL AIRWAYS.. Founded in 1989, ceased operations in 2008
GIRJET.. Founded in 2003, ceased operations in 2008
HISPANIA AIRWAYS.. Founded in 1982, ceased operations in 1989
HOLA AIRLINES.. Founded in 2002, ceased operations in 2010
IBERIA..Founded in 1927, still in operation
IBERWORLD.. Founded in 1998, ceased operations in 2009
LINEAS AEREAS CANARIAS.. Founded in 1985, ceased operations in 1990
LTE INTERNATIONAL AIRWAYS.. Founded in 1987, ceased operations in 2008
MINT AIRWAYS.. Founded in 2009, ceased operations in 2012
NORT JET.. Founded in 1989, ceased operations in 1992
OASIS AIRLINES.. Founded in 1986, ceased operations in 1995
ORBEST ORIZONIA AIRLINES.. Founded in 2009, ceased operations in 2013
SPANAIR.. Founded in 1986, ceased operations in 2012
SPANTAX.. Founded in 1959, ceased operations in 1988
TAE-TRABAJOS AEREOS Y ENLACES.. Founded in 1966, ceased operations in 1981
THOMAS COOK AIRLINES BALEARICS.. Founded in 2017, still in operation for CONDOR
TRANSEUROPA.. Founded in 1965, ceased operations in 1982
UNIVERSEAIR.. Founded in 1987, ceased operations in 1991
VIVA AIR.. Founded in 1988, ceased operations in 1999
I might have missed one or two, feel free to add if that's the case.