4) Lyon
The powerhouses of French football in the 21st century before oil money came to elevate Paris St Germain, Olympique Lyon won a French record seven league titles in a row from 2002.
Similar to PSG's attempts of late, Lyon wanted to translate their success to European competitions as well. A well-balanced side spearheaded by Juninho Pernambucano was considered by many including Jose Mourinho as one of the favourites for the UEFA Champions League title during the mid-2000s.
Lyon did produce some memorable displays in the Champions League during that period and famously eliminated Real Madrid in the Round-of-16 in 2010. But their best result at the competition was a semi-final finish achieved in the same year.
Lyon’s only title in Europe is the 1997 Intertoto Cup which had multiple winners every year and existed solely as a path for European clubs to qualify for the UEFA Cup if their league position was inadequate.