Keep in mind that unless you put A LOT of points into archery in Mount & Blade it feels VERY useless, I've fired entire quivers into a rampaging horde of 100 tightly packed troops and not hit a single soldier with a modest skill of 100 archery.
Middle Earth: Shadow of Mordor has some decent archery, though it too is pretty easy and isn't really useful as a replacement for melee, more as a supplement.
The best games I can recommend for a good archery experience are the "Thief" games, I'm not sure how the newest one stacks up but Thief II and Deadly Shadows have really nice archery in them with multiple types of arrows and plenty of situations to use them and good archery angles. That being said, Thief isn't a "combat focused" game, so most of your archery is done as stealth shots.