The increased correlation is a sign of more integrated economies (globalization).
For instance, the US is highly dependent upon China for manufacturing. So when the US hits a recession, and we spend less money, less money goes to China as well, causing lower growth or a recession on their side.
That's simple correlation example, although there are second and third order effects that are significant as well.
Independently, bubbles have their own flavor on top of that, but usually concentrated to a particular sector (could be a straightforward sector like "tech", or as large as "equities", as was the case due to central bank easing around the world).
Trading sophistication tends to cause faster reactions (e.g. currency goes down, but their stocks go up in the same day, or even same hour). Decades ago, the trading was not as interlinked, so people couldn't make a global decision an implement in multiple markets at the click of a mouse.