The problem the agencies have is that they only get paid for each employee placed so they are not going to put themselves out looking for a job for you ~ no matter what they claim ~ they are more interested in working the other way round. First they get the contract from the employer and then they look in their files for the closest match they have in their lists of people who have registered as looking for a job. With the employment market the way it is the agencies are running on low staff levels themselves and will thus concentrate all their effort into finding vacancies safe in the knowledge that they will be able to fill them as there are people aplenty seeking jobs.
You, as a person, are frankly of no concern to them. As a peg to shove into a hole then you may have a value. Trouble is they have very few holes at the moment. Sorry if this realistic view offends or upsets anyone but it is the truth of employment agencies. Finding you, the individual, a job is NOT what they are geared to do. Finding someone (anyone) to fill a vacancy is what they are about. That is why the highest earners in employment agencies are those that go out and find the vacancies rather than those who look after the jobseekers.
I have never seen anyone in an agency say "Now where can I find a job for Mr/Miss/Mrs/Ms XXX?". Their minds don't work that way as their question is always "Now who do we have on our books that we can send for an interview for this vacancy?" That's why you need to register with as many agencies (specialist agencies if you have a particular skill to sell) as you can and keep going back in, preferably weekly, to chase them along and keep your file up front. Don't be afraid to call in when "passing" just to chat and make sure you keep your file with every one of them updated with any recent experience gained, courses taken etc. You really do have to "work" the agencies to get anything from them. That is how you get from being just a file into being someone they will think of first. Otherwise any vacancy that comes in they will offer to the last three people they spoke to who look halfway to being what the client has specified.
Here endeth the lesson.