As you can tell, one of the things I miss in 4e is rolling your attributes. However, I have never missed rolling for hit points.
Rolling your attributes helps throw some randomness into your character concept, and randomness is usually an aid to creativity.
Rolling for hit points doesn’t spark creativity. It has the potential to sabotage a character you like, and it’s such an important roll that, for me at least, it encourages cheating as little else in D&D does. It just doesn’t seem fair that my cool paladin leveled up and rolled 1 hit point.
Here’s a suggestion for those who would like to roll HP in 4e:
1) Start with your normal 4e HP – or a little less.
2) Roll a HP die at the beginning of every level. This is a special pool of bonus Wound Points. If you have any Wound Points left from last level, they’re gone – they don’t stack.
Wound Points can be used instead of HP at any time: typically on an attack where you would go below 0 HP. (But you always have a choice to save your Wound Points, if you don’t mind falling unconscious.)
Wound points cannot be healed in any way. You only get them when you level.
This rule lets you “roll hit points” every level. It also solves a common 4e objection that an extended rest cures all injuries. There are some wounds that only time can cure.
You can also use it to model semi-permanent injuries. If you are ever at 0 Wound Points, you can be considered to have some nagging injury. I’d play this entirely as a flavor thing, but other DMs could hang some random penalty on it if they wanted.