Travel Cleric is one way to do it (free +10 movement and longstrider spell), but then you have to be a Travel Cleric... You could add that to fast movement from a monk, though. If you're a medium creature wearing light armor, that's a 60ft base speed (minimum) right there. Well, at 5th level and multiclassing. Also, the spell would only last for one hour.
The monk's fast movement is an enhancement bonus, so it may not be ideal. He can also spend a point of ki to increase his speed by 20 feet for one round.
The barbarian's fast movement, the travel domain, and 3 levels of horizon walker with the plains terrain dominance each boost your speed by 10. There's the haste spell, obviously. I believe there's a feat called fleet that boosts speed by 5 every time you take it.
I don't think you'll be able to get into the hundreds. What exactly are you trying to do with it?
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I have a character who focuses on speed so that he can use acrobatics and stealth at high speed for positioning attacks (he is a rogue and also has the teamwork Precise Strike feat that I use with my wife's character). So far I have his base 30' plus 10' from a dip into Barbarian; his next level is going to be a go into the new Elf Magus archetype "Spell Dancer" which will let him spend an arcane pool point for another 10' boost (one minute per point spent along with other bonuses, and if he goes to 5th level he gets one round of blur, haste, or fly during that minute) and also puts Expeditious Retreat, Burst of Speed, and Haste onto his spell list.
If you are lawful you can go Monk instead of Barbarian; you have to get to level 3 before getting any fast movement at all, but it does keep going up if you continue levelling Monk.
There's also Boots of Striding and Springing if you don't have other footwear and don't expect to be getting other Enhancement bonuses to speed (such as haste spells).
Oracle of Flames - Cinder Dance (Ex): Your base speed increases by 10 feet. At 5th level, you receive Nimble Moves as a bonus feat. At 10th level, you receive Acrobatic Steps as a bonus feat. You do not need to meet the prerequisites to receive these feats. Oracles with the lame oracle curse cannot select this revelation.
and
Wings of Fire (Su): As a swift action, you can manifest a pair of fiery wings that grant you a fly speed of 60 feet with average maneuverability. You can use these wings for 1 minute per day per oracle level. This duration does not need to be consecutive, but it must be spent in 1 minute increments. You must be at least 7th level before selecting this revelation.
Magical Item - Boots of Speed
Magical Spell - Haste
The rogue ki pool talent can also net you a speed boost.
Sorry for the necro of this thread, but I wanted to reply about my Monk. I have an Aasimar with the Enlightened Warrior trait that allows me to take Monk levels with a N alignment. So, now I have character that is Serene Barbarian 2 / Zen Archer Monk 3. +10 from Barbarian and +10 so far from Monk. I'll continue to take Monk levels (with the possibility of a few dips here and there) which will increase his speed. This Character is also Mythic (Champion) and my first tier ability is Climbing Master. This grants a climb speed equal to your movement speed. So, right now I can move and climb at 50. My next tier I'm taking Impossible Speed which will grant me +30 to my speed making my movement and climb each 80! I'm gonna be Spiderman. Could be fun!
Does it have to be land speed? If not then Dragon Disciple with 15 level of bloodline power. You have 90ft fly speed which you have faster overall speed compare to every other class. While other class have abilities to be faster than you, you can catch up once they used them up.
Would a Polymorph Any Object spell be able to turn you into a quickling? Base speed 120 could be a good starting point.