Yes, breaking the Enigma codes was crucial. The Japanese received a tremendous defeat at Midway also, because the USA had broken their military codes, and knew they were coming. So the Allies won the war in a technical research sense, and in an intelligence sense. The Allies also had the benefit of much greater production capacity, particularly on the part of the USA, which was protected by two huge oceans from either bombing or invasion threat.

Here are the technical areas the Germans did better in during the war:

88 mm Flak gun - a most deadly weapon, acquired from the Czechs.

Most formidable tanks after 1942 - such as the Tiger I, Panther, and Tiger II.

Me 109 - all round best fighter in the early going (although the Spitfire could match it).

Fw-190 - all round best fighter when it first came out (soon matched or maybe even surpassed, however, by various Allied fighters such as later Spitfires, P-47s, Mustangs).

jet aircraft - they were well ahead in that area, with the extraordinary Me 262 jet fighter.

rockets and ballistic missiles - they led the world in rocket development, but only armed with conventional explosive warheads. This caused some trouble to the Allies, but was not decisive in any way.

Type XXI U-Boat - A very advanced sub, but only a handful of them were in service during the last days of the war, so they had no discernable effect on the course of events.

The Germans had a tendency to scatter their efforts in too many directions at once, thus losing effectiveness overall. This was as true of their military strategy as it was of their scientific and military research and development efforts.

And here are some areas where the Japanese were ahead:

Zero fighter - best fighter in the Pacific in late '41 through '42. Best carrier-based fighter in the world at the time.

torpeoes - they definitely had the world's fastest, hardest hitting, and best torpedoes. This won them many naval battles.

expertise in night fighting - The Japanese navy was well trained in night attacks, and it served them well in 1942.

cruisers - the Japanese heavy cruisers, armed with Long Lance torpedoes, were the world's most effective cruiser force up to the end of the Guadalcanal campaign.

elite air and naval crews - The Japanese personnel at the beginning of WWII had the benefit of the world's most rigorous training, combined with much battle experience in China. This made them extremely effective. Most of these veteran crews, particularly the aircrews, were dead by the end of 1942, and it was utterly beyond the capability of Japanese training facilities to adequately replace them. From that point on, the US Navy inflicted huge casualties on the inexperienced Japanese replacements at battles such as the "Marianas Turkey Shoot".