It's a bit more complicated. In France vaccination has only been open to everyone one month ago, (and those people − including me − only had one dose so far) and in the UK the waiting time between the first and second dose is roughly twice higher than in most countries, which means there's still a significant fraction of the population that just can't get fully vaccinated yet (my brother must wait another month before getting his second shot).
I've been able to book a time for vaccination for weeks now but the first free time wasn't until the end of July.
We're also about 7.75% ahead of the US when it comes to the percentage of the total population who has gotten their first dose, with the trend still being upwards. So I'd say that the problem isn't really willingness.
According to a few news sources, those in their twenties can now get vaccinated in Catalonia, Canary Islands, Castilla-La Mancha, Baleares/Navarra, and Madrid.
I don't know how accurate that is. It may depend on where/how you book the vaccine. I'm in my 40s and live in Madrid, and only got my first dose last week in the local health center rather than a large vaccine hub, because it hasn't been very well advertised. I assumed I still wasn't eligible.
You should just try booking a vaccine, worst that can happen is the system won't let you.
Right now in Germany vaccines are available in abundance, just today Berlin opened a Drive-In Vaccination Center at a furniture store and at Vaccination Centers in Saxony appointments are not needed anymore [1].
