You don't say where you are located, where you want to buy and what you intend doing with the boat. If in Europe, then you will be able to buy a similar sized aft cockpit boat from the early 2000's in reasonable condition within that budget in £s. Centre cockpit boats command typically 20-25% premium, just as they did when new and are much more difficult to find. If you are set on a centre cockpit boat then you will need to look at boats from Westerly, Moody, Countess, HR, Contest etc which will be typically 10-20 years older in that price range.
Boats of this type have a limited market so tend to take anything up to a year from when they first come on the market to selling, particularly if located in the Med like the one referred to above. Potential buyers for the boat are likely to be northern Europeans looking to cruise or liveaboard in the Med - just like the sellers who have finished their project. You will find literally hundreds of such boats, mainly in Greece, Croatia, Spain, Turkey, south of France, Italy and although most will be well equipped they may also be "well worn". This market is very uncertain at the moment, not just because of Covid restricting movement, but uncertainties for British buyers and sellers over Brexit and it could be that there will be lots of distressed sellers and therefore big price readjustments over the next year or so.
The choice is perhaps more restricted in N Europe if you are looking for a boat for that purpose or for sailing offshore and many will need updating and upgrading to be suitable for use in warmer climates. If your budget is 60k for a fully functioning boat then you need to be looking at boats with asking prices less than that - substantially less the older the boat. Expect to spend 20-50% of the purchase price on updating and upgrades. Remember, new a similar size boat even from a mass producer like Bavaria will be at least £180k in basic form and cost of parts is related to that, not your buying price.
