Skyrim on PC is a whole different game, if you have the computer to support it. At this point I've resigned myself to never buying Bethesda games on console, as mods make up for many of the shortcomings and bugs that the developers either can't or don't intend to fix. The Unofficial (insert name or DLC here) patches make up for that in a big way, and playing through with mods that add flavor to the vanilla of the game make a second playthrough a lot more captivating.
For example, SkyRe (T3ndo's Skyrim Redone) changes just about every aspect of every playstyle, by making melee combat less forgiving (IE: No simply powerattacking everything in sight without having to worry about Stamina), making stealth quite a bit harder at the early levels by making enemies more aware (and bows will pretty much instantly alert any nearby enemies that something is going on), making Enchanting, Alchemy and Smithing require great amounts of perk investments before they become worthwhile, and balancing the game as a whole toward Adept ("Normal") level, keeping enemies in your level and stat range as well as giving them the perks that they lacked in vanilla (meaning that going above Adept puts nearly every single enemy at a large advantage over you), while having some areas that are levelled far ahead of you a la New Vegas, making it worthwhile to either avoid and come back later, or take the risk for the loot.
Add in a dash of Deadly Dragons, since that is one of the few things it does not influence, a tablespoon of your choice of Apocalypse Spell package or Midas Magic (or both, if you like managing large lists of spells), a cup of Locational Damage to make combat more strategic, a pinch of SkyUI, Immersive HUD, and A Quality World Map to un-consolize the interface, some Vampire or Werewolf overhaul mods to flavor. Bake with ACE - Balance Your Own Game to perfection, and you've got a recipe for a much more interesting experience.
There are also quest mods that expand upon lore that didn't get touched; Moonpath to Elyswer is a good example, taking you from the frozen tundra to a jungle and desert filled with different types of dangers than you may be used to in Skyrim's mainland.
Search through Skyrim Nexus and see what catches your interest. The top 100 mods are usually there for a reason, and most of them are worth checking out. The mods I listed are just a small part of that, and are usually chosen around a base mod, in this case, SkyRe.