It hasn't really gotten better for me, but I cope with it. I have lived south of London for over 8 years now.
Over the years I've gone through the motions, feeling there was something wrong with me, hating comments made on this forum regarding people who have a difficult time assimilating aren't comfortable with their own company (which alludes to insecurity, and that isn't my case at all) and as a result I have very low expectations of meeting people casually. If a friendship develops, I embrace it. But if it doesn't I ignore it and move on.
Then there's the horrible guilt I feel sometimes about actually disliking the country of my husband's birth. Disliking a beautiful country with such an ancient and wonderful varied history. A country I would love to spend a full year travelling in, and then go back to live in an area that I find to be more congenial.
I don't beat myself up about feeling out of place anymore. I go with the flow, knowing I don't want to grow old and die here, and that's about it. My husband, child and mother-in-law are wonderful, and I know when my child starts school, and I have more personal time, I can volunteer and pursue more interests and get out more.
Most of my friends here are foreign. And the few English ones are quite dysfunctional (and women I wouldn't have hung out with in the US).
MissJenn, almost all of us here have suffered from homesickness in some form. Please don't take it as patronising when I tell you it could take you up to 18 months to feel at ease with your surroundings.
I hope your social experiences are the polar opposite of mine. And know you'll find plenty of support here to help you along.