I find sunflower hearts/sunflower seeds are liked by all the birds.
From what I've read on a wildlife forum nyger seed has a mixed response. Some people find their nyger feeder is covered in goldfinches, others find it is largely ignored. If you have goldfinches visiting it could be worth a try.
I find fat balls will be eaten, if there is nothing else available, but find the square fat cakes are well liked, especially by starlings.
Possibly the most liked food are live mealworms. Some folks find the dried ones are also good but I've never had any success with therm. The drawback to live mealworms are that once spotted by larger birds, blackbirds and especially magpies, they will disappear very quickly, and they are not cheap.
In our garden the peanuts are often left until they go rotten, probably because there is other food available, but a couple of days ago a great spotted woodpecker was feeding on the peanuts.
Mixed seed is cheaper than straight foods but I've found the birds will often throw away what they don't like from the mixture, making it more expensive than it first appears.
Don't know if you have squirrels visiting your garden. If so, then you could have a problem. Squirrels will destroy all but the strongest of feeders and you'll probably need cages to put around the feeders.
Dave