First a couple of comments about series and books that people have already mentioned.
I agree with those posters who’ve said that Footfall, the Man-Kzin Wars, and the World War books are all very good alien invasion stories. Personally, I tend to think that they all have aliens who are a bit too human, but that’s a flaw that I’m going to mention very quietly. Without a benchmark, it’s impossible to say just what the right level of oddities would be proper for an alien intelligence.
About the World War books - I have to debate the statement that (I think) Cal Meacham made about the tech differences: he claimed that the Race’s tech was 100-200 years in advance of 1940’s humanity. I think that it’s more accurate to say that, with the exception of three technologies, it was an invasion of 1990 technology vs. 1940’s tech. (The three exceptions being the Race’s fusion drives for their spaceships, hydrogen combustion for their vehicles and their cold sleep chambers.) The descriptions of the military hardware match much of the equipment used during the Gulf War I.
One of my favorite alien invasion stories is Roger MacBride Allen’s Ring of Charon, and its sequel, The Shattered Sphere. In this book you have aliens who are “attacking” the solar system for reasons that the humans can barely guess. The aliens are constitutionally incapable of actually recognizing the humans as being in opposition to them, and the signal differences are such that it’s a major portion of the plot of both books. And, it’s a great invasion, because instead of having the aliens coming to attack humanity, or going from either FTL ships to a contested biosphere - or going from successful generations to the same contested biosphere, the aliens are doing alien things for alien goals - and humanity just happens to have gotten in the way.
Another well-written and believable alien invasion is John Ringo’s Posleen invasion. To call it bleak is an understatement, but he’s got good answers to why the aliens want to take over the planet, and as much of the population, as possible. Two reasons, one - their tribal set-up, much like the Kzin mentioned above, place rewards for those individuals that take productive fiefs; and they want food supplies - humans are tasty.He’s also got his advanced galatic civilization very well written: striking just the right balance between being not too altruistic, and explaining why they’re helping the monkeys of Sol III.
Other things that I expect from a good alien invasion: either there has to be a large invasion force, or the aliens have to be major r-strategists. That is, the invasion by the single alien mating pair that’s got a clutch size of 8-10 eggs is not going to be a credible threat. Dave Freer and Eric Flint have a good r-strategist invader in their Rats, Bats and Vats books - basically intelligent sea urchins, which will flood the seas with millions of spawn. So, an invasion force of some thousands of invaders is a credible threat.