Various issues of the following magazines can be collected to gain the listed bonus.

Magazine	How to unlock
Astoundingly Awesome Tales	Typically add 5% to damage against a selection of enemies or make it easier to heal radiation damage.
Grognak The Barbarian	Typically add to the damage dealt with melee or unarmed attacks.
Guns And Bullets	Add about 5% to critical damage for each magazine.
Hot Rodder	Cusomize Power Armor with Shark Paint, Hot Pink, and Hot Rod Flamespaint jobs.
La Coiffe	The Hornet's Nest and The Megaton hairstyles.
Live & Love	Add perks to influence companions, or give you an extra boost when they are around.
Massachusetts Surgical Journal	Increases limb damage by 2%.
Picket Fences	Unknown.
RobCo FUN!	Get Holotape games.
Taboo Tattoos	Get up to five different tattoos.
Tales Of A Junktown Jerky Vendor	Improve prices when purchasing from vendors.
Tesla Science	Add 5% to your energy weapon.
Total Hack	Hack through Protectrons, spotlights, and turrets.
Tumblers Today	Bonus on lockpicking.
U.S. Covert Operations Manual	Improved sneaking.
Unstoppables	Add 1% percent of avoiding all damage from an attack.
Wasteland Survival Guide	Collect extra meat from all animal kills.
You're S.P.E.C.I.A.L.!	Typically add 5% to damage against a selection of enemies or make it easier to heal radiation damage.