Situational Irony: X-24
X-24 simply walks past Logan after killing everyone else in the house (which is his mandate).
Situational Irony: Transigen
Transigen created GMO crops which prevented mutants from being born, yet struggled to develop mutants in a lab - a process which would have surely been helped through the study of mutants.
Dramatic Irony: Laura
Audiences know that Laura is Logan's kid before he does.
Verbal Irony: Laura's Friends
Logan tells Laura that "Your friends, they seem nice." This is sarcastic; Laura's friends act strangely around Logan when they first meet.