Personally, I like the new mission board.

It gives you a lot of information without scrolling.
In this screenshot (click for full size) the minor factions are listed on the left along with my current standings with each faction (represented by the bar) and how many missions I quality for regarding each specific faction. For instance, I am allied with the Order of Gende and there is one mission available. I am friendly with People's Gende Labor and there are 5 missions that I could run. This will be very handy for doing OoM missions and not having to weed through the clutter of the other minor faction's missions.
The right pane shows each mission and how much impact there will be to Reputation and Influence when completed. More plus signs means more impact.
The top right corner shows some details about that minor factions current state and your reputation with them. You can see that I am "unfriendly" with the Mob. That's because they have the tastiest ships in the Haz-RES.

In E-D 2.0, I would VERY rarely see BB missions for the mob, so it's been extremely difficult to work on repairing my relationship with them. In the beta, I've been offered quite a few missions from the Mob and am well on my way to a 'cordial' relationship with them. I don't know if the mission board will stay this way after beta, but I sure hope so.
When you complete a mission, a bar graph is shown with a highlighted section showing how much Rep increase you gained from running that specific mission.
I had a simple fetch mission today that got quite interesting. I needed to get 8 Tantalum for the Mob at Gende. No biggie, they were available in a system close by. The mission said that 'others will be interested in your delivery' in the details, but we've all heard that before, right? I got my shipment (flying my A rated Python for BB missions, by the way) and headed back to Gende. After getting in the system, I received a mission update on my comms panel. The message was that two specific commanders were interested in my cargo and I would receive additional credits if I destroy them. Humm... OK.... if I run across them and they aren't flying conda's.... why not.
I get interdicted by a Novice DBS, and he's one of the interested parties looking for my cargo! Easy kill, right? I submit to the interdiction, and start working him with my 2 large beams. He's fast as shit, and runs away a few times (I absolutely HATE that the NPC's do that in beta), so I'm chasing as best I could and waiting for him to reengage, when a deadly Clipper dropped into my instance. Humm... what's this? He's the other ship that was listed on my mission update. Since the DBS commander was updating his final will and testament while my 3 multi-cannons worked his hull, I thought I'd finish him off and jump out, leaving the Clipper for another day.
But,much to my surprise, the DBS and Clipper (not winged) worked me over... big time, and broke open my cargo hatch!

I lost 4 of my 8 Tantalum, and still hadn't killed either ship!
Screw it... I jumped back into SC, ran back to buy more Tantalum and completed the mission. I learned not to engage any targets while running a mission, no matter how easy them may seem to be.
It sure as hell made for the most exciting 'fetch' mission that I have **EVER** done in E-D!
