The only post-1945 real amphibious operation I can think of is Inchon, but that may be due to limited historical knowledge. But before getting lost in historical details and difficult comparisons, let us get back to the LCAC vs. LCM issue.
As I said, it is not useful to compare other navies with the USN, which is in many ways unique, has vast operational experience and can spend money in a way that no other country would dream of. The Soviet Navy was in a similar situation, but the Russian Navy has evidently been severely underfunded for 20 years
That is why they have all but abandoned ACV’s and instead looked for cheaper, but fast, alternatives. They have built or ordered 9 SERNA class (Pr. 11770) and 6 DYUGON class (Pr. 21280). The French Navy has come to the same conclusion, and the Royal Navy. I think that the Chinese will also conclude that they are better served by simpler craft than 3320 (Type 726).
For tphuang, ADMIRAL GORSHKOV (Pr. 22350) has no doubt been much delayed, but as you will know from reading a Russian defence blog, it is now scheduled to be completed by November 2012. Of course the six Pr. 11356 for the Black Sea Fleet will be much cheaper, being a very well-tested design, basically an update of the KRIVAK class. And you are forgetting three SLAVA class cruisers, which are not insignificant ships.