No cards are currently banned in the Standard format.
Archeops (Black & White—Noble Victories, 67/101; Black & White—Dark Explorers, 110/108)
Delinquent (XY—BREAKpoint, 98/122, 98a/122, and 98b/122)
Forest of Giant Plants (XY—Ancient Origins, 74/98)
Ghetsis (Black & White—Plasma Freeze, 101/116 and 115/116)
Hex Maniac (XY—Ancient Origins, 75/98 and 75a/98)
Jessie & James (Hidden Fates, 58/68 and 68/68)
Lusamine (Sun & Moon—Crimson Invasion, 96/111 and 110/111; Sun & Moon—Ultra Prism, 153/156 and 153a/156)
Lysandre's Trump Card (XY—Phantom Forces, 99/119 and 118/119)
Maxie's Hidden Ball Trick (XY—Primal Clash, 133/160 and 158/160)
Puzzle of Time (XY—BREAKpoint, 109/122)
Unown (Sun & Moon—Lost Thunder, 90/214)
Wally (XY—Roaring Skies, 94/108 and 107/108; Generations, RC27/RC32)
No cards are currently banned in the Unlimited format.