Edit : I will also try to add other peoples to the list as I see them.
Alchemy : I actually like alchemy for the most part, I kind of don't like that I can no longer do alchemy everywhere anymore but it's not really a huge loss I mean it kind of makes sense there is no way you would carry all that stuff with you. The one thing I think would be a nice improvement would be giving bottles more uses meaning a light healing potion would maybe give you 2 uses and large healing potion would give you like 5 that way you are not carrying 80 potions around with you.
Perks/Attributes/Athletics/Acrobatics : I don't see why things like athletics,acrobatics and things of that nature couldn't just be given their own tree kind of like a jack of all trades tree this could also effect things like strength,luck,wisdom etc.. these things affect all the other trees in some way that way it would kind of feel like the attributes were still around also I think would give you character a more unique feel.
Mitheledh added that perhaps attrubites should just be brought back but should be better implemented
papercut_ninja added Clean up and extend the perks with more variety and less useless filler perks (preferably none at all, every perk I pick should feel like I add another strategic advantage or dimension to my character).
Spells : i see no reason that you shouldn't be able to summon more of the things in skyrim like wisps,spriggans and wraiths.
I think there could easily be more options for characters types as well like why aren't there options for a Mechanist who could "summon/create" the dwarven spiders, spheres and centurions. Another type would be Druids there should be ways to permanently tame or call apon things like spider,wolves,bears and the like. (I'm not sure all this would fit under conjuration but I think you get the idea)
Multiple people : would like the spellmaking system to make a return. The T1p :The addition of more unique spells.
Gallowglass added these spell types, change weather,vines, bugs,shapeshift and darkness.
Combat/Weapons/Clothes/Armor :There just need to be more options crossbows,spears,throwing knives,flails heck maybe even things like the daedric crescent from morrowind.
also would be nice if there where more unique looking weapons in the game. (also bring back Unarmed stuff)
The T1p added that having the option to change the color of armor would be great.
papercut_ninja added improve combat. combinations, damage effects (other than knockback/stun) and general feedback could still be a lot better.
Gallowglass added More dynamic combat. Again, there are knives and forks in the game which can be used as weapons, if I'm not mistaken. I've downloaded a mod that allows me to use flutes as weapons. Why not buckets, brooms, and empty wine bottles, too? Why can't there be some chairs you can pick up and swing at someone's face? Why can't you slam them against walls, or throw down your weapons and throttle them? A real fight isn't nearly as formulaic as the combat in TES would have you believe; there is room for some really interesting combinations. also added there should be more more armor slots and that armor should more reflect the types of materials in the world (for instance there are 4 types of fur in the game)
Aretmesia added more clothing and clothing pieces-shirts, pants, skirts, capes. Non-magical fighting staffs.
NPCs : There just needs to be more options when talking to folks i also think they should bring back the ability to admire,taunt and intimidate everyone you talk to.
WoodGnome & The T1p more consequences for actions or lack thereof with NPCs
PeyloW added I want to be able to gift objects to people. For example some clothes to beggars, or a really nice dress for my wife.
Aretmesia added, more children of different races, children that don't look like clones. More npcs that can be married, of each race.
Quests : nightwishnz added more non linear quests,
FailedtoOpen also added that they should be "more open ended"
Tdroid added that there should be more factions like Vigilants of Stendarr.
PeyloW added Time limits on a few quests, not all, but at least some. If the quest giver says for example "Please rescue my son, he is to be executed soon!", then waiting to take on the quest longer than a week should result in the son being executed and the quest fails.
I want to be able to cancel a quest. If a quest is automatically added for me, I should be able to refuse the quest without having it linger in my "to-do" list forever.
Economy : Shagsbeard added I'd personally like to see if they could make the economy real. By that I mean that resources should have to be gathered (mostly by NPCs), items created, and then sold by merchants. NPCs should need "income" of some sort to live, be it gathering resources, fabricating items, or selling items. Food items should have to be grown, harvested and purchaced. Nothing should appear magically in a shop, just because 48 hours have passed. Mines would have to be kept clear of bandits for the locals to mine.
Aretmesia added, there are mills, let us use them, flesh that whole food procuring and cooking out more.
World : Master Cat added the world needs to feel more alive and a want for the world around to react more to the player.
WoodGnome & The T1p mention that the world should have more consequences for you action The T1p also would like the ability build your own homes
WoodGnome also asks for some random high level enemy encounters. Tdroid added that there should be more types of enemies.
gazzer added Make the terrain matter more. - animals can climb steeper slopes than spriggans,wolves can go through passages that trolls can`t etc - so that climbing up a rock isn`t always the answer to evade enemies.
PeyloW added I want a reputation system. My good and/or bad deeds should modify how people react and interact with me. If I am known to be a thief shop owners should never let their eyes of me etc.
Gallowglass added that there should be an Arena. also added that weather and environment should effect you character type.
Aretmesia added Bookstores, please. Better implementation of horses--first person riding, horse and cart, packhorse.
Darkside Eric added I would have loved monster raids on villages in retaliation for the player's actions.
Like trolls would begin infesting the area, or hell... even Bandits would raid a town because you raided one of their keeps so they sought revenge.
I guess I will stop here but i would love to hear some other stuff from other people.
I would also like to state because it seems I have to that I really do like Skyrim I just want to like it more.

That alone implies that there should be continuity and improvement over previous entries.
