As per dimension door:
After using this spell, you can’t take any other actions until your next turn.
Is there a way to go around this and be able to act freely after using dimension door?
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The tactical feat Sun School (Complete Warrior 112) via the tactical maneuver flash of sunset allows a creature, after having used an effect like the spell dimension door et al., to make a single attack at the creature's highest base attack bonus against an adjacent foe.
The extraordinary ability shadow pounce that's a level 4 class feature of the prestige class Telflammar shadowlord (Unapproachable East 36-7) and a level 5 class feature of the prestige class Crinti Shadow Marauder (Shining South 23-4) allows the creature, after using an effect with the teleportation descriptor, to make a full attack. This is widely considered to specifically override the general limitations the spell dimension door describes, but be safe and ask the DM.
It's probably also worth mentioning the prestige class blade of Orien (Dragonmarked 99-101) which at level 10 gains the similar class feature Orien's fury that allows the creature to make a full attack after it uses its spell-like ability dimensional leap (Eberron Campaign Setting 66) that's granted by the creature's Mark of Passage least dragonmark.