For general oiling/chain lube, I use TriFlow.
For grease, I used Phil Wood grease exclusively since the 1980s until last year when pulled apart my 1984-vintage Dura-Ace pedals, and saw that the grease in them was as viscous as if it were new. Since then, I've been using the Shimano/Dura Ace Special grease (Phil is still highly recommended). In shop practice, we used white lithium almost exclusively. But I do remember opening up old hubs and whatnot with dried white lithium grease inside.