One strategy I considered for actually trying all of the cocktails on the the List was to drink them in chronological order by origin--oldest to newest. The oldest drink on the List is the Port Flip, a drink made with a decent amount of port, some sugar, and whole egg, yolk and all. As you can imagine, after shaking this results in a rich, creamy drink.
In the 1887 Bar-tender's Guide or How to Mix Drinks, author and cocktail pioneer Jerry Thomas gives the following recipe for a Port Flip:
Port Wine Flip.
(Use large bar-glass.)
Take 1 small tea-spoonful of powdered white sugar.
1 large wine-glass of port wine.
1 fresh egg.
2 or 3 small lumps of ice.
Break the egg into the glass, add the sugar, and lastly the wine and ice. Shake up thoroughly and strain into a medium sized goblet.
Anvil's Bobby Heugel takes a slightly differently approach, adding the egg to the port.
Definitely a different sort of cocktail; I don't think I've ever had anything quite like it. Don't skip No. 73: the Port Flip!