As explained in other answers, many European countries have used debit cards with chip-and-PIN for many years but some credit cards still had no chip and point-of-sale terminals often supported both. However, it seems there is an effort to move even further away from magnetic strip cards, generalizing chips to all cards without exception and penalizing retailers who choose to support magnetic strip cards, at least in some countries.
Thus, I noticed recently that terminals without magnetic strip readers were becoming more and more common. Some new terminals only have a chip reader and I believe that banks apply different conditions to transactions with credit cards without chip compared to chip-based transactions. Chip-and-signature cards should however still work in those places. ATMs might also still work with magnetic strip cards.
Credit/debit also makes a difference as in some chip-and-PIN countries (e.g. the Netherlands), many stores do not accept credit cards at all, whether chip-based or not. Finally, vending machines (e.g. for public transit or train tickets) have required a chip-and-PIN card (credit or debit) for some time now.
All this means that looking at other solutions (at least a chip-and-signature card from your bank or possibly a third-party chip-and-PIN card like the one mentioned by @littleadv) is increasingly important.