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Whenever you encounter a wild Pokémon, it has a chance to have an item attached. These are most likely to be berries, but you may find a rare item attached occasionally.

Pokémon	Held Item
Rattata	Chilan Berry (Very Rare)
Raticate	Chilan Berry (Very Rare)
Fearow	Sharp Beak (Very Rare)
Pikachu	Oran Berry (Rare)/Light Ball (Very Rare)
Sandshrew	Quick Claw (Very Rare)
Sandslash	Quick Claw (Very Rare)
Clefairy	Leppa Berry (Rare)/Moon Stone (Very Rare)
Vulpix	Rawst Berry (Always)
Paras	Tinymushroom (Rare)/Big Mushroom (Very Rare)
Venomoth	Shed Shell (Very Rare)
Diglett	Soft Sand (Very Rare)
Dugtrio	Soft Sand (Very Rare)
Meowth	Quick Claw (Very Rare)
Mankey	Payapa Berry (Very Rare)
Primeape	Payapa Berry (Very Rare)
Growlithe	Rawst Berry (Always)
Poliwhirl	King's Rock (Very Rare)
Abra	Twisted Spoon (Very Rare)
Kadabra	Twisted Spoon (Very Rare)
Tentacool	Poison Barb (Very Rare)
Tentacruel	Poison Barb (Very Rare)
Geodude	Everstone (Very Rare)
Graveler	Everstone (Very Rare)
Ponyta	Shuca Berry (Very Rare)
Slowpoke	Lagging Tail (Very Rare)
Magnemite	Metal Coat (Very Rare)
Farfetch'd	Stick (Very Rare)
Doduo	Sharp Beak (Very Rare)
Grimer	Nugget (Very Rare)
Shellder	Pearl (Rare)/Big Pearl (Very Rare)
Cubone	Thick Club (Very Rare)
Lickitung	Lagging Tail (Very Rare)
Weezing	Smoke Ball (Very Rare)
Chansey	Oval Stone (Rare)/Lucky Egg (Very Rare)
Horsea	Dragon Scale (Very Rare)
Seadra	Dragon Scale (Very Rare)
Staryu	Stardust (Rare)/Star Piece (Very Rare)
Mr. Mime	Leppa Berry (Very Rare)
Ditto	Quick Powder (Rare)/Metal Powder (Very Rare)
Dratini	Dragon Scale (Very Rare)
Dragonair	Dragon Scale (Very Rare)
Sentret	Oran Berry (Very Rare)
Chinchou	Deepseascale (Very Rare)
Lanturn	Deepseascale (Very Rare)
Pichu	Oran Berry (Very Rare)
Cleffa	Leppa Berry (Rare)/Moon Stone (Very Rare)
Sunkern	Coba Berry (Very Rare)
Yanma	Wide Lens (Very Rare)
Girafarig	Persim Berry (Very Rare)
Steelix	Metal Coat (Very Rare)
Qwilfish	Poison Barb (Very Rare)
Shuckle	Oran Berry (Always)
Sneasel	Grip Claw (Rare)/Quick Claw (Very Rare)
Corsola	Hard Stone (Very Rare)
Phanpy	Passho Berry (Very Rare)
Smoochum	Aspear Berry (Always)
Elekid	Electirizer (In Diamond, Rare. In Pearl, Very Rare.)
Magby	Magmarizer (In Pearl, Rare. In Diamond, Very Rare.)
Miltank	MooMoo Milk (Always)
Mightyena	Pecha Berry (Very Rare)
Zigzagoon	Oran Berry (Very Rare)
Beautifly	Shed Shell (Very Rare)
Dustox	Shed Shell (Very Rare)
Swellow	Charti Berry (Very Rare)
Shroomish	Kebia Berry (Very Rare)
Loudred	Chesto Berry (Very Rare)
Nosepass	Hard Stone (Very Rare)
Skitty	Leppa Berry (Very Rare)
Mawile	Occa Berry (Very Rare)
Aron	Hard Stone (Very Rare)
Roselia	Poison Barb (Very Rare)
Gulpin	Big Pearl (Very Rare)
Carvanha	Deepseatooth (Very Rare)
Sharpedo	Deepseatooth (Very Rare)
Numel	Rawst Berry (Always)
Camerupt	Rawst Berry (Always)
Spoink	Tanga Berry (Very Rare)
Spinda	Chesto Berry (Very Rare)
Trapinch	Soft Sand (Very Rare)
Cacnea	Sticky Barb (Very Rare)
Cacturne	Sticky Barb (Very Rare)
Zangoose	Quick Claw (Very Rare)
Lunatone	Moon Stone (Very Rare)
Solrock	Sun Stone (Very Rare)
Castform	Mystic Water (Always)
Kecleon	Persim Berry (Very Rare)
Banette	Spell Tag (Very Rare)
Duskull	Kasib Berry (Very Rare)
Dusclops	Kasib Berry (Very Rare)
Chimecho	Kolbur Berry (Very Rare)
Snorunt	Babiri Berry (Very Rare)
Clamperl	Big Pearl (Very Rare)
Relicanth	Deepseascale (Very Rare)
Luvdisc	Heart Scale (Rare)
Bagon	Dragon Fang (Very Rare)
Beldum	Metal Coat (Very Rare)
Starly	Yache Berry (Very Rare)
Staravia	Yache Berry (Very Rare)
Bibarel	Oran Berry (Rare)/Sitrus Berry (Very Rare)
Kricketot	Metronome (Very Rare)
Kricketune	Metronome (Very Rare)
Budew	Poison Barb (Very Rare)
Combee	Honey (Always)
Buizel	Wacan Berry (Very Rare)
Floatzel	Wacan Berry (Very Rare)
Cherubi	Miracle Seed (Very Rare)
Buneary	Chople Berry (Very Rare)
Glameow	Cheri Berry (Very Rare)
Purugly	Cheri Berry (Very Rare)
Chingling	Colbur Berry (Very Rare)
Stunky	Pecha Berry (Very Rare)
Skutank	Pecha Berry (Very Rare)
Bronzor	Metal Coat (Very Rare)
Bronzong	Metal Coat (Very Rare)
Mime Jr.	Leppa Berry (Very Rare)
Happiny	Oval Stone (Rare)/Lucky Punch (Very Rare)
Chatot	Metronome (Very Rare)
Gible	Haban Berry (Very Rare)
Munchlax	Leftovers (Always)
Skorupi	Poison Barb (Very Rare)
Drapion	Poison Barb (Very Rare)
Croagunk	Black Sludge (Very Rare)
Toxicroak	Black Sludge (Very Rare)
Finneon	Rindo Berry (Very Rare)
Lumineon	Rindo Berry (Very Rare)
Snover	Nevermeltice (Very Rare)
Abomasnow	Nevermeltice (Very Rare)