What is "long range" to you?
For a truly "long range" (to meet MY criteria of 1000+) projectile, I would be looking at a 175-197gr bullet. Like a Hybrid, Elite Hunter, ELD-X, ELD-M, SMK, VLD (Berger or Matrix), etc.
And for a truly "long range" case design, I would look at a medium to big magnum. 7SAUM, 7WSM, 7SS, 7.21 Firebird, 7.21 Tomahawk, 7RM, 7LRM, 7STW, 7-300WM, 7RUM, 28 Nosler, 7 Dakota, .284 Jarret, 7 Allen Mag, etc.
If 600-800 is your definition of "long range", that opens up a few more cartridges. .280AI is one of my favorites. .280Rem, .284 Norma (or Win), 7 Sherman, etc.
I would not personally take a shot at big game over 1000 yards. Except coyotes. I will shoot those suckers at any range I see them.