The items Jameson requests you to photograph are in the corresponding locations:
Raid on Oscorp #1
The first item Jonah wants you to snap is the set of Vulture wings in the glass case after you save the hostages.
Raid on Oscorp #2
After you free the hostages and enter the conveyor belt, you'll enter a large room where you need to vent the coolant. The robot arms that Jameson wants a picture of are located in the windowed lab when you reach the first coolant vent.
No One is Safe! #1
When you free the hostages from the three thugs backstage at the theatre, go to the far end and in a trunk will be this purple robe and “fishbowl” of one mysterious character.
No One is Safe! #2
At the docks, look for the large battle armour along the side of a stack of crates. It will be next to the water and right beside a barbed wire fence-- it has a spotlight shining right on it.
Claws of the Cat #1
While on the main floor of the museum, go to the centre room with the large dinosaur skeleton and on the wall beside it will be a black and white mask hanging.
My Ally! My Enemy! #1
Snap a picture of the pumpkin on the shelf to the right of the exit, when you are done talking to Harry.
The Kingpin of Crime! #1
Jameson will mention something about drugs being hidden in sand for this picture. When you get outside the first area with guards, look for the orange box beside the garage where the machine gun wielding brute exits. Take a picture of the sand on the ground there and you will get the goods.
Maximum Carnage! #1
After going through the electrical cave and enter the next section, look for the "Venom Wing" sign on the right side and snap a pic of it.
The following items are found in The City:
Simply snap a shot of Stan's comic Shop, which you can easily find by going to the comic book marker on the city map.
Daily Bugle Sign
When starting the "No One is Safe" mission, you'll start right near the Daily Bugle building and can see it clearly in the night sky.
The Fisk Tower
The Fisk Tower is found to the southwest of the city and the sign that needs to be snapped is on the ground floor. If you have troubles locating the building, just go to the location on the map above.
The Oscorp Sign
When starting "Raid on Oscorp" you'll be given this assignment on your way to Oscorp Tower. Simply snap the pic before you enter the building to begin the mission.
At the start of "The Green Goblin!" mission, you'll receive the assignment to snag this photo of the nightclub sign. The sign is found on the roof of the building located on the image above. It can be difficult to see if you’re running around on the ground, so get airborne and you will see the sign with it’s large red and white letters much easier.
Play through the "Raid On Oscorp" mission until you leave the air vents. After the cutscene, stealth kill four enemies and get rid of the final enemy as desired. Once done, pause the game and select the "Restart" option, then choose "Yes" to restart from the last checkpoint, which is where you leave the air vents. Repeat this process for a fast and easy method of obtaining XP.
View the following video to see the location of all 10 Black Cat journal audio logs. Half of the journals are found during Story missions while the other five are hidden in the open world. It is recommended that you fully upgrade your Spider-Sense so that they become highlighted on the mini-map when you get close to them. Pause the game, and select the "Messages" tab to see exactly which logs you have found. Each journal has its own number, allowing you to keep track of which ones are missing
Unlock the following costumes by performing the corresponding tasks. To switch costumes, use Peter Parker's closet at Aunt May's home and open the "Wardrobe" menu to cycle through the available costumes. Also view the video below to see how to unlock each costume: