Jari - the MM guys used to publish a list of all the eligible cars (they still do) and which had competed in previous retrospectives (they don't now). From this you could pick a model which would be "a first" for the selection committee. Having said that, nearly two thirds of the entry is taken by sponsors so it is very hard to get an entry. Looking at my list from 2010 of "affordable", "a first" cars there were:
Bristol 400 - 1949
Citroen DS19 - 1956
Fiat 600 '633cc' - 1955
Jag Mk VII - 1953
Lancia Appia 1090 - 1954
Mercedes 180 + 180D - 1955
Mercedes 220 - 1956
MG ZA - 1956
Peugeot 403 - 1956
Saab 93 - 1957
Sunbeam Rapier - 1956
NB Some of these cars have since done the MM.
All cars have to be totally original and then you need FIVA or FIA documents to prove it. Finding non modified cars made the search even harder - try finding a bog standard MG ZA for example - you would think it would be easy!
Good luck
john