Ok well this is my first post on these forums so be nice.
I have to agree I think amphibious ops are way to easy, or better put to simplified in SC 2. Historically large scale amphib ops were very tough to do and REQUIRED landing craft made for that purpose when assaulting defended beaches. What is needed is a 'Landing Craft' tech (LC).
Level 0) Barges and portable boats. All landings would require the unit to spend one turn in the coastal hex before off loading. The unit could attack but not move on the turn that it landed.
Level 1) Landing Craft such as Higgins Boats. Units can unload the same turn they enter the coastal square, units could attack but not move the turn they unload.
Level 2) Amphibious Craft such as the Ducks. Units can unload, attack and move on the same turn.
With each new level of LC the movement range would be increased, hit on supply and moral lowered. I would also limit the number of units allowed to be in LC mode. Even the Americans with so much industrial might had trouble finding enough LC for all the operations in the Med, the Pacific and France.
I would also give Engineers the ability to build Coastal Barriers (CB). Any unit except Engineers landing in a CB would take a random amount of damage and not be able to move even if you have LC 2. CB's would represent mines, tank/LC traps, pre sighted artty etc.
I believe that the real reason the Germans needed to have complete control of the air for Sealion was the fact that they had no real Landing Craft. What they did have were barges and portable boats that were slow to move, load and unload. Had they been able to get their troops ashore mostly in tact the English would of been in serious trouble, after all the BEF had left all its heavy equipment in France.
This is a fine game and I am having lots of fun playing it, landing craft played a large roll in the out come of WWII and yet it is to simplified for my tastes.