Bungler rhymes with:
angler, strangler, wangler, agler, angler, buegler, burglar, crigler, daigler, degler, egler, finagler, flagler, gaugler, gengler, hagler, haigler, hegler, huggler, kagler, kaigler, kegler, koogler, legler, nagler, peagler, pregler, riegler, segler, shingler, siegler, smuggler, spiegler, stiegler, stigler, straggler, strangler, vogler, wagler, wangler, zeagler, ziegler, ziglar
Bungler sounds like:
bangalor, bangalore, binocular