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Some places to farm xp.
I always see people asking about where to level up post-game. When you run out of quests, the drive to keep playing can sometimes be elusive, especially if you suffer any "post game blues." There are locations that I farm for experience and legendary items, and I'll go over a few here. Note that I only play on survival, but the experience you gain is undeniable regardless of difficulty.
Gunners Plaza
This place is a treasure trove of xp. There is a high volume of enemies and they all drop good loot to sell or use. You can find assault rifles, combat armor pieces, plasma guns and other assorted goodies to sell or scrap. He weary of the fat man wielding gunner on the second floor of the compound; try to snipe him first.
Quincy Ruins
Much like the Plaza, this locations is dense in Gunners and the loot they bring. Many enemies equals many xp points and that is fun times for everyone. Be on the lookout for chems to loot as well, and be aware of the assaultron. At higher levels and difficulties, it can become invisible and wreck your ass.
Hyde Park
This nice little settlement by the water is home to none other than the much beloved Raiders. An assortment of the gang can be found and slaughtered for maximum xp gain and pieces of armor for scrap. Chems are plentiful where raiders are so be on the lookout as you kill and loot.
(These 3 locations are in close proximity of each other for time saving awesomeness.)
Saugus Ironworks
This molten factory houses a mad grange of pyromaniacs that love flinging flames at your face. If your dream weapon is a flamer, look no further than Saugus. Extinguish these baddies for some nice xp as the place is fairly packed with enemies and lots of molotovs/flamer fuel.
Hub City Auto
Yet another Gunner chill spot, this junkyard is chock full of the ruthless mercenaries. They are equipped with laser weapons, assault rifles and plasma guns all ready to be scrapped/sold and of course the ubiquitous combat armor. Wherever there are Gunners, there is combat armor. Heed the Fat Man wielding leader atop the bridge, where the crane leads.
(These 2 locations are directly next to each other for time efficient xp gains.)
The Glowing Sea
This place is a sprawling, gaping landmass on the south west of the map. Supposedly where the bombs hit, it is vibrant with radiation and should only be explored deeply by the most hardened of wasteland wanderers. Don your finest suit of Power Armor and get ready to blast through all kinds of uglies such as Deathclaws, Radscorpions, Feral Ghouls and the most frightening beast of them all, the Stingwing. Eat some Mentats and go crazy killing every enemy you see as you explore this irradiated underbelly. The xp is nice and it's a tense environment to boot.
Taking chems to enhance your intelligence stat is a good way to add a nice little boost to your experience gain, so don't be frugal with the drug use when you start your experience farming session. There are other places to farm but this is a nice, compact list to get anyone started. Have fun killing bad guys and locking out those levels.




Nice!
If you haven't destroyed the brotherhood you can do the scribe and acolyte missions for a decent amount of xp depending on the mission