Top 5 Favourites for reading;
1. Victorian Romantic
2. Thoth
3. Navigators Tarot of the Mystic SEA
4. 1001 Nights
5. Golden Tarot of Klimt
Top 5 BEST decks
1. RWS
2. Thoth
3. Jacques Vieville (The first truly exotic tarot)
4. Soprafino
5. Trevisan's Crystal Tarot. (So rich and refined and aesthetic. Sadly, I don't think the current edition shows it at its best.)
NB, no *official* Marseilles
Five Most Influential
1. RWS
2. Thoth
3. Greenwood (so many decks now want to be the Greenwood, not just the Wildwood)
4. Etteilla / Jeu des Dames
5. Bohemian Gothic (the deck to which all dark decks aspire). But that's a fashion thing as "dark" is now de rigeur. These trends pass. I'm not sure about position number 5.
NB, I don't think the Marseilles exerts even a tiny influence on most decks now published. Is that an extreme thing to say? Most decks don't want to be like a Marseilles deck.
Funny, I do have this criteria, that most decks aspire to being like other decks already in existence as there really is very little originality around if you think long and hard. That's why "most influential" has to be distinct from other lists. Most decks are just not very original. It doesn't necessarily mean I don't like them, but they're not original and don't influence (as I understand it).