Though Ian is likely to disagree with me on this one, since you asked for personal recommendations (I'll also be referring to the list provided):
The Demolished Man, by Alfred Bester -- high on the list, in my opinion
Slan -- a classic, but I think with more flaws
Odd John, by Olaf Stapledon -- a bit cold for most modern readers, but a very well-thought-out depiction of the idea, I think
I'd definitely recommend The Martian Chronicles, though telepathy is a thread that runs through a fair amount of the book, not the focus overall
I'd also add The October Country or From the Dust Returned, as Cecy is an odd sort of empath/telepath
Puppet Masters -- if you like Heinlein in general, this would definitely appeal; if not, some of his ideas may be irritating; but it is a wonderful suspense story, nonetheless
More Than Human, by Theodore Sturgeon -- wonderful book; should not be missed
The Forever Machine (a.k.a. They'd Rather Be Right), by Clifton and Riley -- I find it an interesting book which grows with rereadings, but it is very awkwardly written ... it's the ideas that carry this book rather than the story itself
While it's not a full book, "The Game of Rat and Dragon", by Cordwainer Smith, uses the theme of empathic/telepathic connection with animals
Colin Wilson's The Philosopher's Stone -- uses Lovecraftian concepts, but in an inverted way; quite a good novel, overall
Lord of Light, by Zelazny
Minikins of Yam, by Thomas Burnett Swann (I'd actually suggest quite a few of Swann's books as well worth reading)
Space War Blues, by Richard A. Lupoff -- very strange book, a bit difficult in some spots, but well worth reading
Necromancer, by Robert Holdstock (I'd also strongly suggest his Mythago Wood, though it's not on this theme)
Mother London, by Michael Moorcock -- definitely, one of M.M.'s best -- though very different from most of his work
The Blood Red Game, also by Moorcock -- somewhat dated in style, but with some very interesting concepts going on there
Carrion Comfort, by Dan Simmons -- psychic vampires; a very good modern horror novel
Ingathering (or any of the collections/novels about The People), by Zenna Henderson
Though I find the books to be very uneven (even within a single novel), you might enjoy some of Lumley's Necroscope books -- one who has telepathic communication with the dead
Harlan Ellison has also used telepathy of sorts in some of his stories, most notably "I Have No Mouth and I Must Scream", "The Region Between", "The Deathbird", "Blind Lightning"...
Threshold, by Caitlin R. Kiernan, uses it as well... a flawed, by atmospherically powerful, book
