A few candidates off the top of my and Charles Matthews' (and that gentlesentience with the nervous IP's) head, classifying these as paradoxes of infinity needs to be sourced, of course:
- category:paradoxes of naive set theory (shouldn't that be "naïve"?)
- List_of_paradoxes#Infinity_and_infinitesimals
- Thomson's lamp
- Zeno machine
- Gabriel's horn
- St. Petersburg paradox
- Irresistible force paradox this and the omnipotence paradox might have been discussed in terms of the infinite limit of a sequence of finite scenarios, quite analogous to the Gibbs paradox
- Bentley's paradox can be viewed as a problem of canceling infinities
- Fermi paradox, this would be representative of a whole class of arguments of the type "in an infinite(ly old) universe, anything possible will happen, but why haven't the consequences of this been observed?", which leads us to questioning anthropic principles in infinite universe (I'd be really surprised if I was the first one to notice this)
- Olbers' paradox, thermodynamic paradox