The most Total Bases (TB) in one season: 457 by Babe Ruth in 1921. So to reach 800 TB in two consecutive seasons, the batter would need at least 343.
https://stathead.com/tiny/ICKL1
For single seasons, Playing in the AL or NL, in the regular season, requiring Total Bases >= 343, sorted by descending Total Bases.
322 records were put into a spreadsheet (800 TB consecutive years):
It has three tabs:
Answer: extracted from tab 343 TB
343 TB: sorted by player and season
400 TB: sorted by player and season
Here is the summary data in the Answer tab:
Eight players, including Gehrig and Sosa twice each.
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