Yes, I do! I think that is one of the reasons I am so slooooow with games. I love seeing all scenarios if possible, but I always check all endings at least. (It is kind of hard with older games though, I remember checking a ton of Japanese guides until I could finally find one with all endings listed for Moujuutsukai to Ouji-sama for example).
Also I really enjoy taking my time in general not only with the games themselves, but I usually take breaks between routes and I love checking out other media related to the game I am playing (listening to drama CDs, reading magazine artikels and interviews, reading the manual (mostly for older games like PSP, PS2, DS), also I even check topics or themes related to my actual game. For example during my 9R.I.P. play I made quite a research on urban legends or I read some novels back in the day to get to know the original characters from Code:Realize.)