Here's one for the stat Kats.
Katy Perry's cumulative VEVO view count by era
I only included videos of songs from the respective albums that were full length; no matter studio, remix or live recording. No trailers, making-of/behind-the-scenes or interview videos were included.
One Of The Boys
1. Hot N Cold - 282,257,360 views
2. I Kissed A Girl - 81,201,163 views
3. Thinking Of You - 73,804,021 views
4. Waking Up In Vegas - 56,990,561 views
5. Ur So Gay - 47,664,949 views
6. Thinking Of You (Extended Video) - 28,138,452 views
7. Waking Up In Vegas (Manhattan Clique Remix) - 8,021,116 views
8. Hot N Cold (Live on Letterman) - 5,170,395 views
9. I Kissed A Girl (Live on Letterman) - 5,115,086 views
10. Hot N Cold (Live at SXSW) - 3,601,001 views
11. Waking Up In Vegas (Live at SXSW) - 1,771,180 views
12. Thinking Of You (Live on Letterman) - 1,734,459 views
13. One Of The Boys (Live at SXSW) - 1,483,942 views
14. Waking Up In Vegas (Live on Letterman) - 1,274,972 views
15. Mannequin (Live at SXSW) - 1,140,104 views
Total View Count: 599,368,761 views
Teenage Dream
1. Firework - 601,200,424 views
2. Last Friday Night (T.G.I.F.) - 526,534,694 views
3. Wide Awake - 398,602,850 views
4. E.T. - 356,602,673 views
5. Part Of Me - 331,500,033 views
6. The One That Got Away - 322,504,189 views
7. California Gurls - 185,495,868 views
8. Teenage Dream - 161,187,064 views
9. Part Of Me (Lyric Video) - 47,113,577 views
10. Teenage Dream (Director's Cut) - 39,220,714 views
11. Wide Awake (Lyric Video) - 30,093,285 views
12. Teenage Dream (Remix) - 11,076,851 views
13. Peacock (Live on Letterman) - 10,377,796 views
14. Tommie Sunshine's Megasix Smash-Up - 8,837,444 views
15. Dressin' Up (Lyric Video) - 7,974,832 views
16. Firework (Live on Letterman) - 7,666,613 views
17. Teenage Dream (Live on Letterman) - 4,483,329 views
18. Firework (Lyric Video) - 3,209,928 views
19. California Gurls (Live on Letterman) - 2,807,666 views
Total View Count: 3,056,489,830 views
PRISM
1. Dark Horse - 1,048,969,976 views
2. Roar - 1,015,947,505 views
3. This Is How We Do - 346,979,433 views
4. Unconditionally - 200,793,206 views
5. Birthday (Lyric Video) - 100,178,593 views
6. Roar (Lyric Video) - 85,344,107 views
7. Dark Horse (Audio) - 84,276,105 views
8. Birthday - 52,678,419 views
9. Unconditionally (Lyric Video) - 22,284,040 views
10. This Is How We Do (Lyric Video) - 10,763,075 views
11. Walking On Air (Audio) - 10,100,883 views
12. By The Grace Of God (Audio) - 3,150,152 views
Total View Count: 2,981,465,494 views
Teenage Dream being her most streamed era overall.

PRISM will snatch soon, with nearly half as many videos. OOTB about to snatch 600m total views despite existing prior to the streaming era, too. A live performance of Peacock having 10m views, incredible. Both Roar and Dark Horse coming for double certification.

Truly the Queen of VEVO.