Unit-enhancing buildings

[QuintusSertorius]

What buildings are there that give bonuses or other advantages to units raised in settlements which have that building?

I seem to have gained a killer combination in quite a few settlements in my game, getting +1 experience, +1 weapons and +1 morale.

Halikarnassos as Epeiros has:
-Type II government, which gives +1 experience
-Gymnasium, which gives +1 experience
-unique temple-mausoleum, which gives +1 morale (to any Hellenic faction)
-Blacksmith, which gives +1 to weapons

I've got another settlement with a similar setup so newly-recruited troops are already quite a bit better than they'd normally be.

I suppose if I build a martial temple I could get an additional point of morale, but I'd rather the tax benefits from temples to Artemis.

Do other factions have access to similar buildings/governments? I remember as Rome a type IV government would produce units with +1 experience, and Rome and Capua had morale-boosting temple/uniques.

In a semi-related question, what does experience do? I think it adds to weapon skill and defense skill, and maybe morale (I'm guessing), is that the case? Is it a simple 1-for-1 (seems to be the case with the first two, can't tell for the latter)?