Fastest ways to level multiple skills in Skyrim
I am really wondering on just the fastest ways to level up the skills (Conjuration, Destruction, Smithing, Enchanting, etc). So instead of asking about a single skill I was wondering if we could all just do it in one go. See, I had to start a new game due to the lagg error and I want to get all my old skills back so if everyone could just post the fastest ways to level certain skill I would be ever so grateful.
The quickest way is to use the Oghma Infinium exploit. The first steps toward getting this book are to get to level 15, and then start the "Discerning the Transmundane" quest by going North of Winterhold to Septimus Signus's Outpost.
Basically, you get the book and take it back to your house without reading it. Activate the bookshelf and read the book. Then go back 1 (one) screen, and put the book on the shelf. Then take the book off the shelf without reading it. Then activate the bookshelf again and read the book. Then rinse and repeat. You'll be able to get all of your skills up to 100 in about 15-20 minutes or so.
This is a pretty broad/general question, so this is going to be a pretty broad/general answer. Remember that you can activate the relevant Guardian Stone to get a skill learning boost. Many of the skill pages on the UESP contain "tricky" or "glitchy" ways of gaining skill ranks very quickly. Also, take a look at the mod workshop if you're on PC, since there are likely things there that will make this process (or the game) easier, if you want to waste less time maxing everything out. Console commands would also make this easier, or you could exploit a glitch. I'm guessing since you asked this question, you're wanting to level legitimately, though.
Magic Skills: Alteration/Conjuration/Destruction/Illusion/Restoration
Skill gain is related to the power of the spell as it effects valid targets. For instance, with restoration, the amount of health healed, or with destruction, the amount of damage done. For illusion, rally friendly townspeople. Conjuration is easily leveled by getting into combat against something that can't hit you, and then repeatedly casting bound weapon/armor spells.
Combat Skills: Archery/Block/Heavy Armor/One-Handed/Two-Handed/Light Armor
Skill gain is related to damage done or absorbed. Do a ton of damage to something that's invincible, being healed, or has a ton of health. Giants, for instance, or essential people from quests who don't care if you pummel them. Shadowmere is a decent punching bag as well. For armor/block, absorb as much damage as you can without dying, as fast as you can. Potions and spells can offset this damage.
Crafting Skills: Smithing/Enchanting/Speech/Alchemy
Skill gain is related to the value of the item involved. The more expensive the transaction or item created, the more the skill gains. Make expensive items, or make large batches of cheap items. Better yet, make large batches of expensive items :) Fast travel in a circuit to various raw good merchants (mages for soul gems, blacksmiths for smithing components, alchemy vendors for ingredients, etc), buy up their stock, craft, and sell whatever you can in town before taking off to the next town.
Stealth Skills: Sneak/Lockpick/Pickpocket
Sneak skill gains are related to use of the skill, and major gains from backstabbing. Sneak attack sleeping enemies (Draugr are easy to find and frequently napping in their crypts).
With lockpicking, breaking picks gives you a small boost, so you can throw picks at the problem if you're flush with cash. The biggest gains come from opening high-level locks.
Pickpocket gains are related to the value of the item, whereas difficulty grows as the value goes up and as the weight goes up. Steal many light, but relatively expensive, items. Quicksave often, as this is the most likely skill to get you into hot water.
Strategy
I'd probably focus on the crafting skills first. Join the Mages' Guild and the Thieves' Guild so that you have access to the mage vendors, the radiant thief quests, and the guild fence. Run jobs when you're low on money, and while you're moving around the map, steal everything that isn't nailed down in every alchemy and blacksmithing shop. Don't forget to rob the court wizard blind while you're at it. If you break in to shops and run numbers job/heist job quests, you'll have plenty of opportunity to level stealth skills.
Once you've got a fair bit of gold and the skills to make some decent gear, go run the assassin guild questline to get Shadowmere and the guild's torture room, which you can only buy once you've gotten to the end. You can abuse the torture victims to level your offensive skills.
Now that you've got awesome armor and fearsome offensive skills, go find a giant and pick a fight. Drink potions of health restore/regeneration to avoid death, and watch your skill levels rise.
Now this is nothing official but it works for me. In the beginning, i usually go with Ralof and i tend to lean towards using bows and sneaking and stuff along that sort. If you try to pickpocket him, at first it tells you this character can not be pickpocketed. One day i had gotten so frustrated and it led to my first discovery of the glitchy gameplay. Upon spamming crouch and the action button, i was able to open his inventory! From the start he has a bow and some arrows and i took those (after loading a bunch of times after failed attempts) and kept them handy. Now there is a part in which you run into a small bridge that collapses after crossing.{{[[SAVE HERE]]}} If you manage to anger him (attack him or make an un-successful pickpocket attempt) you can jump into a small space where the bridge was. You can sneak and he will lose track of you, but be warned he is still very, very peaved at you. After he loses track of you, he will wait at the end of the tunnel used to get out of the hole which is where the answer to your question comes in. Because he is a main character, he cannot die. In other words, free punching bag from square one. If you anger him, sneaking around him without getting caught will also upgrade your sneak. You can use a bow you picked up or sword or spells even to bring his health down, leveling up whatever you use. Healing from his attacks will up your Restoration, as well as whatever armor you're using. Once he goes down, sneak off back into the spot that you fell into, you may have to lure him away from the tunnel at first or go to the top and jump back in. The wondrous part of this, is that once you leave the tunnel, his hostility goes away, that is unless you anger him again. He will not try to attack you AFTER you leave the cave. So spend as much time deemed necessary boosting up before leaving.
P.S. NO BOUNTY WILL BE ADDED. NONE AT ALL. LEAVING THE CAVE GETS YOU AWAY SCOTT FREE :)