As the interconnection of the European electricity markets and integration of renewables progresses, there is little known about interconnectedness across them at times of market turbulence. The electricity crisis of 2021 and 2023 were significant events that can also provide lessons in the behaviour of integrated markets with high renewables under stress. Despite the impacts of the COVID-19 pandemic and the Russia-Ukraine war on the European energy market, little is known about their effects on the transmission of risks between the electricity markets. We employ the quantile connectedness approach to quantify the return connectedness between eleven key European markets, as well as the natural gas and carbon markets. We then examine the effect of the two crises on the interconnectedness. We find significant return interconnectedness, driven by spillover effects, among the markets. Analysis of connectedness across quantiles shows that the spillover effects are much stronger at tail ends of conditional distribution. Moreover, our results reveal opposite effects from crises on market interconnectedness. While the COVID-19 pandemic reduced the interconnectedness, the Russia-Ukraine war intensified the return shock transmission. Finally, we find that the natural gas and carbon markets are net recipients of return shocks across the quantiles. •Increase in TCI shows stronger ties in EU electricity markets, driven by efforts for a unified internal market.•Integration differences among markets reveal distinct regional patterns, especially in Nordic and Western Europe.•Key transmitters: Sweden, Germany, France, Denmark; net receivers: Finland, Norway, Italy, Poland.•Natural gas and EUA markets receive more return shocks than they transmit.•Stronger connectedness in natural gas and EUA during extreme shocks observed.•COVID-19 reduces connectedness, while Russia-Ukraine war increases it, showing varied impacts of global events.