How can I intuit all the Feynman diagrams from a given interaction?

Let’s say I want to calculate all connected 1-loop 4-point Feynman diagrams for a given interaction (in my case, with both $phi^3$ and $phi^4$ terms). Is there a way to lay out all the possible diagrams (and be sure that my list is complete) to apply Feynman’s rules, or do I need to calculate their generating function and do it the "long" way?