If I have a confused or poisoned Genesect V with 2 Fusion Strike Energy attached, and my opponent has a Cradily with the "Swaying Strangle" Ability in play, would I be able to Retreat after I have discarded the 2 Fusion Strike Energy cards as the cost, or would I no longer be able to Retreat?
Since you began the Retreat process while Swaying Strangle was prevented by the Fusion Strike Energy, you get to complete the action and Retreat even after discarding the 2 Fusion Strike Energy cards. The behavior is also similar with Flygon's "Labyrinth of Sand" ability or Snorlax's "Block" ability.
Source: TPCi Rules Team (2022-03-31)
Can I use Umbreon-GX's "Dark Call GX" attack to discard 2 Double Colorless Energy?
Yes, you can select 1 Energy of each Double Colorless Energy to discard both of them. This applies for discarding your own Energy for an attack and for retreating as well. So if you used Hoopa-EX's "Hyperspace Fury" attack or paid its Retreat Cost of 2, discarding 2 Double Colorless Energy would be legal options.
Source: TPCi Rules Team (2017-01-26), TPCi Rules Team (2017-06-27)
Team Aqua Hideout increases the Retreat Cost for certain types of Pokémon - how does this affect a Pokémon that has a Poké-BODY that reduces the cost to zero, or a Pokémon that doesn't have a cost to retreat?
If a Pokémon doesn't have a Retreat Cost, it now has a cost of one. If a Poké-BODY reduces the cost to zero, the cost remains zero.
Source: Team Magma vs Team Aqua FAQ (2004-03-04)
Can you over pay retreat cost? I mean like if you wanted to get rid of a Darkness Energy from a free retreat pokemon, could you discard the darkness anyway when you retreat?
No.
Source: WotC Chat (2001-08-09)
Can I retreat my Active Pokémon if my bench is full?
Yup, when you retreat you are switching your active for one on your bench.
Source: WotC Chat (2000-07-13)
If I have Zubat (no retreat cost) as my Active and retreat him, can I bring him back as Active or do I have to bring up another Benched Pokémon?
When you retreat a Pokémon, you are swapping it (a switch) with another on the bench. So in this case, Zubat goes to the bench, and you bring up a different Pokémon from your bench.
Source: WotC Chat (2000-02-17), WotC Chat (2000-05-11)
If my Active Pokémon has taken damage and I retreat it, does the damage go away?
No. Retreating does not remove damage. (But it does remove Poison, Confusion, Sleep, or anything else that's the result of a Pokémon's attack, including special attacks like Porygon's Conversion.)
Source: WotC Chat (1999-09-30)