I sympathise and empathise, often feeling very similar myself. A long standing friend of mine (20+ years) mentioned the other day that she realised she wasn't a very good friend as she never suggests we get together and it always comes from me - she's right, but she hasn't altered how she behaves yet!!! On the other hand, I have made friends with another lady only recently, and she is often inviting me over for coffee and a chat and keeps in touch very regularly. People tend to fall into either category, and in my experience more in the first type than second. It feels like most of the time I'm the one making the effort - although I do realise some people lead very busy lives and I don't!
It hurts when you put effort into a friendship that is not reciprocated, so your reaction in my view is understandable - you sound a sensitive soul and sometimes that makes friendships and relationships a double edged sword.
In order to solve the problem for myself I started up a book club, inviting only 3 people to start with - other ladies who lived nearby who I knew as acquaintances. I was honest and said I needed to branch out into some new friendships and that was my reason. We now are a group of 8 as other people were suggested and joined, and our age range mid fifties to early eighties! It has worked very well, we meet each month, sometimes have lunch out as well, and three of us have just started a monthly supper evening where we each contribute to the meal, and other halves come too. Might something similar help your situation?
Warmest wishes to you.