When will we have...
...our first Lutheran President? Lutherans comprise 2-5% of the US population (much more than that in the Midwest). We have never had a Lutheran President from either the moderate ALC/ELCA nor the more conservative LCMS (or the very conservative WELS), though Lutherans are more numerous that Quakers (2 Presidents) or Unitarians (4 Presidents).
Given that Lutherans were a much stronger share of the population in the early 20th century and didn't experience any systematic political discrimination (and are in fact massively overrepresented due to the Dakotas), it's surprising that it didn't already happen. Given that it didn't, I wouldn't expect a Lutheran president anytime soon.
...our first Pentecostal/Charismatic President? This would include the Assemblies of God, Church of God (Cleveland, TN) and the historically Black Church of God in Christ?
2032ish. Next Republican after Trump.
...our first Restoration Christian President? (Christian Churches and Churches of Christ, as distinct from the Disciples of Christ (LBJ, Reagan) which is NCCCUSA-affiliated). TV personality Phil "Duck Dynasty" Robertson is affiliated with the Churches of Christ.
I think their membership is low enough that there's no reason to expect a Restoration president anytime soon.
...our first Orthodox Christian President?
It almost happened in 1988. The Balkans should be increasing in geopolitical importance going forward with events in Russia and mass migration from the Middle East, which might increase political involvement among Americans of those backgrounds, so I'm thinking 2050ish.
...our next Catholic President? (JFK was of course the first and so far only).
This is the really serious anomaly on the list, as they are the plurality religious group and have been for some time. I would say 2020/2024, but the fact that Trump and Pence are both Protestant makes that less of a clear proposition, and I don't think Biden will run on the Dem side. I'm going with 2028.
...our first Polish-, Slavic-, Italian-, Greek-, or Chaldean-American President? (This last one is a bit of a stretch: Chaldean-Americans have trouble even getting elected to local office in Sterling Heights, MI, where they comprise a significant percentage of the population).
2050ish, for the same reason as the Orthodox Christian question.