There are some games which allow the player to restart the game while keeping their characters and stats, but with the world reset, and I am wondering what WRPGs have this feature. (I am especially interested in if there are any modern ones with this feature.)

One older example, which predate the term (that came with the JRPG Chrono Trigger), is Dragon Wars; when you load the game, you can choose to start a new game instead of continuing. When you do this, you keep your party (including any recruited characters), their levels, XP, stats, and skills, and their spells (which has some interesting implications), but not their equipment. (Note that, in Dragon Wars, your main sources of power are equipment and spells, so you lose one of them but not the other.) In the mean time, the world is reset, so you can now do everything again, or even pursue different outcomes to different events.

Wasteland originally shipped with a reset utility that would allow you to do the same thing there (though note that the game has no spells).

So, what other WRPGs do this sort of things? Do any more recent ones do this?

Deus Ex: Human Revolution comes to mind.

Since WRPGs are usually story-focused games with preset encounters and carefully balanced challenges, it should be rather difficult to find one that fits the requirement ... (Well, the Elder Scrolls games have level scaling, for a change, but most people don't even manage to finish those even once. ;P )

Neverwinter Nights would probably allow you to restart the game with the character you saved at the ending, including most equipment, but it offers no official New Game+ option and won't balance the game anew; your character will be seriously overpowered. The same goes for Forgotten Realms Unlimited Adventures.

Baldur's Gate and Icewind Dale are two I can immediately think of. You can export player-created characters (but not NPC companions) at any time, then start a new game using that exported character. You keep all experience, stats, spells and items -- and the rest of the world is returned to its default state. The games weren't originally designed to be replayed like this, but the Enhanced Editions added some new difficulty options where you could do so and still be somewhat challenged.

Neverwinter Nights also allows this but the author of an adventure module can add restrictions on importing characters -- placing a level cap, disallowing items to be imported, etc. So the feature is supported by the NWN game engine but it's availability will vary based on the adventures you play. The feature is intended for moving your character into a new (higher level) adventure, not replaying the same adventure with a pimped out character. But as long as the module doesn't place any restrictions on importing characters, there's nothing to stop you from doing so.

That hasn't been my experience. From my experience, WRPGs tend to be less linear, and hence have less precise balance in their challenges. Games like Might and Magic, Wasteland, and Dragon Wars, for example, will allow you to go to dangerous areas, too dangerous for a starting party, right away. (In Wasteland, try going to the Guardian Citadel right away; I dare you. Good luck killing even *one* enemy there without getting at least some anti-tank weapons.)

(Might and Magic doesn't have New Game +. Dragon Wars and Wasteland do, but much of your power comes from equipment that you don't keep (assuming Wasteland's official reset program, which isn't so easy to get nowadays), and your intrinsic power doesn't increase much as you progress (Dragon Wars gives only 2 bonus points per level, and you start with 50; plus gaining 1 hit point requires 2 bonus points).) The inability to keep NPC stats in Baldur's Gate makes the option less interesting.

Icewind Dale, if the Heart of Winter expansion is installed, does offer Heart of Fury mode even in the Classic Edition. On the other hand, the game *is* rather linear, so the option, I feel, isn't as interesting as it would be in a less linear game.

It might be interesting to have a Neverwinter Nights adventure that is not meant to be completed in one go; you would not only be allowed to, but would actually be forced to, restart the adventure with the same character in order to complete it.

(Blades of Avernum is similar to Unlimited Adventures and Neverwinter Nights in this respect, by the way.)

I believe Tyranny fits this (though you only keep some items and powers).

But that's precisely what I meant: The encounters are too hard for a starting party because they are fixed and don't adapt to the PCs' level. So if you'd restart the game with a powerful end game character, even encounters that seemed impossible before will likely have become too easy. For New Game+ to work the encounters would have to be changed.