Looking up the pronunciations in M-W, I find a lot of options on these. Glacier can be pronounced with either SH or ZH, or if you’re British, an S. Glazier can be pronounced with either ZH or Z. Personally, I use SH and Z, so they aren’t an SH/ZH pair in my dialect.
ETA: this is the best one so far. Neither are obscure or capitalized.
Another minimal pair for “th” occurred to me today, after doing The NY Times crossword. It involves slang: “thou” (as in the pronoun) and “thou” as in slang for “thousand.”