Some notes on BSTs of starters, and others

Shared BSTs:

1. 528: Gen V
2. 530: Gen VII

Others:

1. 535: Swampert
2. 534: Charizard, Typhlosion, Infernape, Delphox
3. 530: Remaining
4. 525: Venusaur, Meganium, Torterra

 The last generation to have lower than 530 BSTs was Gen V. While 528 hasn't be reused extensively like 530 was, it is unlikely to see a return to that.

Looking at this, it seems we won't see anything around or below 530 after this generation. Reaching to 535 will likely take about 4 generations, and 540 will likely take 10 generations. So until 30 years we will remain in the 540 barrier.

Neat.

For higher than 540 BSTs:

Gen I: 555
Gen II: N/A, 540 with Kingdra and Blissey
Gen III: 670
Gen IV: 545
Gen V: 567, 550
Gen VI: 552, 551, Megas
Gen VII: 570, 620

Next generation might see another 555 BST species, and something like this can be seen:

1. Gen 8: 555
2. Gen 9: 575
3. Gen 10: 560
4. Gen 11: 580
5. Gen 12: 565
6. Gen 13: 585
7. Gen 14: 570
8. Gen 15: 590
9. Gen 16: 575
10. Gen 17: 595
11. Gen 18: 580
12. Gen 20: 600
13. Gen 21: 585
14. Gen 22: 605
15. Gen 23: 590
16. Gen 24: 610
17. Gen 25: 595
18. Gen 26: 615
19. Gen 27: 600
20. Gen 28: 620

Edit (03.06.2017): It seems that starters, like most of the third stage Pokémon, cannot go beyond 129. Currently the highest single stat is 126, Primarina's Special Attack. After that comes Emboar's Attack(123), Greninja's Speed (122), Chesnaught's Defense (122). Lowest possible stat belongs to Torterra's Speed, 56. The second lowest stat is 60, which is the Speed of Primarina, Incineroar, Swampert and Empoleon.