In 3.5 the true Jack of All Trades is the Factotum in Dungeonscape. Access to every skill, some healing abilities, some spell casting, and some incredibly OP class features keyed off their Intelligence, namely the ability to add it to all Dexterity and Strength skills and checks (not attack). Break a door? Add Intelligence + Strength, Jump, Climb, Balance, or Tumble? Same thing. Initiative check (which is technically a Dexterity check). Add Intelligence. By far my favorite 3.5 class.
Play 3 levels as an Elan (Psionic race) Factotum (for the really good stuff) and then go Psionic Artificer. Have every skills, make any magic item. Play the Doctor in D&D. Bonus points for Morkeden's Mansion on a box that can Plane Shift, Teleport, and Travel Through Time (web article spel by WotC) with a busted Veil of Obscurity (Stronghold Builder's Guide.) Most fun I've ever had while driving a DM crazy with a custom item that has all the Detects, Shatter, Arcane Lock, Mending, Locate Object, and Knock as at-will abilities and another that says what I want and what others expect (Bluff is a wonderful skill.)
I didn't attack that often but I could destroy weapons using Shatter and the build does have some decent combat capabilities.