I find that most lipsticks bleed a little bit on me (including Guerlain Rouge G, Tom Ford, some Mac finishes and so on), but it helps applying with a brush instead of directly from the bullet.
Matte lipsticks bleed less on me than the more creamy ones. If I wear a creamy one, I tend to wear a matte/dry formula underneath and that really helps - and means that it lasts all day.
If you wear lip balm before applying the lipstick, do you blot/remove the balm?
For reds, I tend to use Inglot Lip Pencil in 21 - it's a blue toned red and it's a thick pencil, not a 'normal' lip pencil. It is very nice but quite dry.
You can get clear lip pencils that might help you - I've never found them to help much as they aren't dry enough for me.
Mac's Matte and Retro Matte formulas last well on me as well.
If you like something slightly more neutral, then I find that the Clinique Chubby Sticks last well and do not bleed. The Intense range is more pigmented and is just as good as the original.
Other balm-like lipsticks that last well on me are Dior Rouge Baume, Chanel Rouge Coco Shine, Pixi Tinted Brilliance Balm and the Guerlain Shine/Rouge Automatique.
I like the Laura Mercier Creme Smooth Lip Colour lipsticks a lot too - they are more like normal, creamy lipsticks and they do not bleed on me.
Revlon Colorburst Matte Balm are also very nice - they have the same shape as Chubby Sticks, but are pigmented like a normal lipstick and matte. And taste of mint - very nice and quite affordable.