Quisque aliquid habet quod occultet
for a t-shirt.
While the intended meaning is 'everybody has something to hide', in a different context one could imagine that the subject of "occultet" is someone else previously referred to. For example, if we had just been talking about Moxie Marlinspike, we could conceivably read this sentence as 'everybody has something for him [Moxie] to hide'. (Like, all of us users out here have got different things that Moxie can help each of us to protect.)
There's also a famous joke "malo malo malo malo malo" ('I prefer (being) a bad man in a bad situation to (being) an apple in an apple tree'). I'm sure we can proliferate examples of ambiguous Latin to match every other natural language.
A cool disambiguation feature in Latin is the distinction between the possessive pronouns "eius" and "suus", where "suus" is used when referring to possessions of the grammatical subject of the sentence and "eius" when referring to someone else's possessions. While English can specify the former ("his/her/its own"), it doesn't have a straightforward way to show that the possessor is not the subject of the sentence.
You can see the contrast between eius and suus in the text of the Magnificat
https://en.wikipedia.org/wiki/Magnificat#Text
where "ancillae suae" ('his handmaiden') occurs in a sentence whose grammatical subject is God, but "nomen eius" ('his name') in a sentence whose grammatical subject is the name. And sure enough, there is an actual disambiguation between the subject of a sentence and someone else later on:
Suscepit Israel, puerum suum, recordatus misericordiae suae, sicut locutus est ad patres nostros, Abraham et semini eius in saecula.
He [God] has taken up Israel, his [God's] servant, remembering his [God's] mercy, as he [God] said to our ancestors, Abraham and his [Abraham's] seed forever.
In this case "his mercy" and "his seed" refer to God's mercy but Abraham's seed, but there is no referential ambiguity about that in the Latin because one is "misericordiae suae" and the other is "semini eius".