1. Operation Anchorage 2. The Pitt 3. Broken Steel 4. Point Lookout 5. Mothership Zeta
I'd suggest doing Anchorage and The Pitt first, as the former gives you the best armor in the game and the latter can yield you one of the best melee weapons. Save Point Lookout until you're high-level, as the enemies there are quite tough. For Zeta, just have a lot of Stimpaks and good armor.
And I do it all for free, your tears are the only pay I'll ever need!
Most people recommend doing Operation Anchorage first since you get some ridiculous armor from there--it has so much item durability that it effectively never degrades, PLUS you get the powered-armor training perk. You lose your inventory going in and gain weapons and armor for the duration, so equipment's not an issue.
After that, either Zeta or the Pitt, then whichever one you didn't do first. Flip a coin if you must. Like O:A, I've heard that you lose some of your gear while you're doing these and get it back later, and they give good perks and weapons. Plus a limited supply of Alien Epoxy that can be used to Repair unique stuff that there are no parts for.
Not sure whether it's better to do Point Lookout early or wait for later when you've got good gear, haven't tried it yet.
"I do not make the rules. This annoys me, and so I comfort myself by breaking them."
Starting with OA is the best, since you get Power Armor training was earlier than usual. OA before Pitt is a must, since the Power Armors from the Pitt are great, but they dont give you Power Armor Training.
OK, here's the order I played them in. Anyone agree in my review of them?:
1. Operation Anchorage - Short, strightforward, forgetable and overpriced 2. Broken Steel - Good but nothing new to the table 3. Point Lookout - Best of the lot. Big with lots of content 4. Mothership Zeta - Good add on, good pacing but shouldn't of locked off most of the ship after completing it. 5. The Pitt - Glitchy and laggy. Needs ALOT of improvement
PSN: Goldjit http://mypsn.eu.playstation.com/psn/profile/Goldjit.png - My trophies, lets see you beat me!