However, there are some alternative choices that can be interesting for someone looking for a bit more of comfort or a different type of steering behavior. I've compiled a small list of handlebars that fit in this category. This list might be useful for somebody currently unsatisfied with their current handlebar and trying to find a perfect handlebar for their favorite type of riding.
Groovycycleworks Luv Handles
Handmade in Wooster Ohio by Rody Walter, these steel bars have a very interesting geometry, with 1 inch (25.4 mm) of rise and 21.5 degrees of sweep in the grip section. They fit quite well in the hand and show a very good balance between stiffness and comfort.
Clamp: 25.4 mm
Price: 85 USD
Weight: 315 g advertised, mine weighted 386 g
Groovycycleworks Luv Handles Ti
This is a titanium version of the steel Luv Handles. Lighter and obviously more expensive than the original.
Clamp: 25.4 mm
Price: 245 USD
Weight: 275 g
On-One Mary

Clamp: 25.4 mm
Price: 36 GBP
Weight: 300 g
On-One Mary Cro-Mo
This is a Cro-mo version of the Mary bar, intended for heavier riders.
Clamp: 25.4 mm
Price: 36 GBP
Weight: 525g
On-One Fleegle

Also from On-One comes this very wide (716.7 mm) swept flat bar. Due to the absence of rise, it is intended for bikes with high front end. The sweep angle is above average, standing at 15 degrees.
Clamp: 25.4 mm
Price: 30.80 GBP
Weight: 330 g
On One Fleegle Pro
A shorter (673 mm) and lighter version of the Fleegle, made with a different aluminum alloy.
Clamp: 25.4 mm
Price: 36 GBP
Weight: 241 g
Misfit Psycles FU bar

Clamp: 25.4 mm
Price: 43 USD
Weight: 378 g
Misfit Pscycles FU2 bar

Clamp: 25.4 mm
Price: 42 USD
Weight: 351 g
Jones H-bar Original

Clamp: 25.4 mm or 31.8 shimmed
Price: 500 USD
Weight: 440 g
Jones H-bar Loop
A variation of the H-bar with a continuous front loop instead of the two separate grip sections of the original.The loop provides more hand positions and a place to mount accessories. It also features a curved center section to allow the placement of levers behind the crossbar (it is impossible to fit them in the closed loop).
Clamp: 25.4 mm or 31.8 shimmed
Price: 550 USD
Weight: 467 g
Jones H-bar Cut
A shorter version (590 mm) of the Loop H-bar, with an opening in the front loop that allows the placement of levers ahead of the crossbar.
Clamp: 25.4 mm or 31.8 shimmed
Price: 550 USD
Weight: 416 g
Titec H-bar

Clamp: 25.4 mm
Price: 60 USD
Weight: 430 g
Titec J-Bar
This is a variation of the J-bar. The grip section is the same, but it has no rise and clamps in 31.8 stems.
Clamp: 31.8 mm
Price: 68 USD
Weight: 400 g
Price: 68 USD
Weight: 400 g
Bontrager Satellite Trekking

Clamp: 25.4 mm
Price: 16 USD
Weight: 335 g
Bontrager Satellite Plus Trekking

Clamp: 25.4 mm
Price: 50 USD
Weight: 300 g
Origin8 SpaceBar

Clamp: 25.4 mm
Price: 23 USD
Weight: 300 g
Surly Torsion Bar

Clamp: 25.4 mm
Price: 46 USD
Weight: 280 g
Bikes on Snow FloWing Ti
The FloWing Ti is produced by Bikes on Snow, a small manufacturer from Vermont. The bar is swept back 27 degrees, 686 mm wide and made in titanium.
Clamp: 25.4 mm
Price: 175 USD
Weight: ??