Visual Novels are their own medium and to call them games does them a disservice. Certainly ,there are VNs that border on being games and some games have VN leanings but in general VNs are different and should be treated as such.
Examples of games with VN leanings:
-Persona
-BlazeBlue
-The Atelier series
Examples of VNs with a bit of gameplay:
-Kamidori: Alchemy Meister
-Phoenix Wright
Examples of straight VNs:
-Fate/Stay Night
-Steins;Gate
-Hoshizora no Memoria: Wish upon a Star
The reason why I make this distinction is because while VNs do mix well with games, they don't always mix with gamers. If you're going into a VN, which literally stands for "Visual Novel" and aren't expecting at least a small novel's worth of text then I really wonder what exactly you were expecting. Do you go into Novels expecting a comic strip? Of course not. So why would you go into a Visual Novel and expect something other than a Novel?
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Now that I've made that distinction, some "pure" VNs if you would, that I recommend for their excellence are as follows, listed in order of ease of access:
-Steins;Gate
-Any KEY VN (Clannad, Air, Kanon, Little Busters)
-Fate/Stay Night
-Hoshizora no Memoria: Wish upon a Star
-Yume Miru Kusuri (A drug that makes you dream)
-MajiKoi: Maji de Watashi ni Koi Shinasai
Some pure VNs for people wishing to delve deeper into the medium:
-Umineko
-Saya no Uta
-Sengoku Rance
You know what, here's an infographic with a bunch of great translated VNs that aren't too hard to find. It even has ranking for things like writing and how much erotic material is in them. Right click > view image to see the full sized chart.