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This page is incomplete. Please feel free to edit this page to add missing information and complete it. Reason: Missing Gen II gift items, complete Gen IV and V gift items. Missing Gen VI everything..
Recurring items are any items the player may receive indefinitely, excluding items bought at stores(...?)
items held by wild Pokémon and items held by Trainers*?
(from Item:) Recurring items on the ground are quite rare within the Pokémon series. Although multiple items can be bought at Poké Marts, finding items on the ground repeatedly in the same place is decidedly the exception to the rule in the Pokémon games. Generation I had no known places where there were recurring items. Generation II introduced Apricorn trees and Berry trees, on which new Apricorns and Berries would grow every day; however, there were still no known places of re-occurring items on the ground.
(candidate:) Generation II introduced Apricorn trees and Berry trees, on which new Apricorns and Berries would grow every day. Generation III advanced the idea of Berries, but simultaneously changed their mechanics significantly, so that Berry trees no longer gave Berries forever, untended and on a universal schedule. In the meantime, Pokémon Ruby, Sapphire, and Emerald tentatively introduced the first on-the-ground recurring items in Shoal Cave. Pokémon FireRed and LeafGreen would then go on to introduce two entire areas, Treasure Beach and Berry Forest, that featured multiple items on the ground that regenerated after a certain number of steps. Generation IV continued with more of the same, with recurring items basically limited to special places. Generation V, however, introduced a few recurring items spread around several areas throughout Unova, like mushrooms that might regrow (vaguely recalling Apricorns and Berries from Generation II) and valuables that might wash up on beaches. Pokémon Black 2 and White 2 took it a step further with Hidden Grottoes, which are areas found in many locations that all have a small chance to regenerate items after 256 steps.
(There are no recurring items in Red and Blue (and Yellow?).)
Gold, Silver, and Crystal
In the wild
Apricorn trees and Berry trees can be picked daily to receive a single Apricorn or Berry. They regenerate every day at midnight.
At the Goldenrod Department Store in Goldenrod City, once every Sunday, a woman will show up and give the player a TM, depending on the lead Pokémon's friendship. If the lead Pokémon's friendship is neutral, she will not give any TM, but the player may still show her another Pokémon.
Using Mystery Gift, once a day, the player may obtain a random item or decoration by connecting with other players of Gold, Silver, or Crystal or with Pokémon Stadium 2 (up to five people per day, but each person only once per day). A few of the rarest items can only be obtained when connecting with Stadium 2.
In Pacifidlog Town, once a week, in the southwestern-most house, the younger brother of the Pokémon Fan Club Chairman will give the player TM21 (Frustration) or TM27 (Return) depending on the lead Pokémon's friendship.
At the Lilycove Department Store in Lilycove City, once a day, if the player owns a Pokémon that has an Original TrainerID matching in whole or in part the number that the receptionist draws, they can win a prize. The player only has one chance to match the drawn number (when it is first drawn).
In Turnback Cave, the player can receive an item each time they reach the maze's last room, depending on how long they took to get there. If the player passes through more than 30 rooms, they are returned to the entry room and receive no item.
On Route 221, once a day, the old man in the house will ask the player to show him a Pokémon of a certain level and will give the player a Black Belt, Expert Belt, or Focus Sash (cycling in that order) for doing so.
At Jubilife TV in Jubilife City, once a day, if the player owns a Pokémon that has an Original TrainerID matching in whole or in part the Lottery number that Felicity draws, they can win a prize. In Diamond and Pearl, the player only has one chance to match the drawn number (when it is first drawn); in Platinum, the player may return any number of times (until they win) to try to match the drawn number.
When the player's savings reach certain amounts, the player's mom will purchase a bunch of five damage-reducing Berries and send them to the player by deliveryman at the nearest Poké Mart or Department Store.
In White Forest, every day, there is a chance that items will appear on the ground. Which items can appear depends on who is residing in White Forest at the time (meaning that if no one is, no items will appear).
In Nimbasa City, every day after completing the main story, six random Trainers will appear in Big Stadium and Small Court (three in each building), some of whom will give the player an item after they are beaten.
In Village Bridge, once a day, a Fisherman in the "Hip Waders" club (in the third house from the east on the northern side) will give the player 5 Dive Balls for showing him the requested Water-type Pokémon, providing it was caught that day.
On Marvelous Bridge, once a day, a woman will employ her troop of Patrat to play a shell game with the player. If the player can pick which Patrat is holding the Big Mushroom at the end of the game, she will give the player the Big Mushroom. (This woman will only appear after first being encountered in Village Bridge.)
In Nimbasa City, every day, any Trainer except Backers in Big Stadium and Small Court will give the player an item after they are beaten. Prior to beating the game, every Trainer will give the same item (depending on the number of Badges the player has obtained), but in the post-game, most of the Trainers give different items.
In Village Bridge, once a day, a Fisherman in the "Hip Waders" club (in the third house from the east on the northern side) will give the player 5 Dive Balls for showing him the requested Water-type Pokémon, providing it was caught that day. (The Fisherman will only appear after first being encountered on Route 8, near the Tubeline Bridge.)
In Striaton City in the Striaton Restaurant, once a day, a woman will employ a troop of Pansage, Pansear, or Panpour to play a shell game with the player. If the player can pick which Pokémon is holding the Big Mushroom at the end of the game, she will give the player the Big Mushroom.
This list is incomplete. Please feel free to edit this list to add missing information and complete it. Reason: Need confirmations. What items recur in Undella Town and what items recur in Undella Bay..