The only integrated stereo amplifiers that do not need a coupling capacitor are those which provide 3 output stages, using one as the way to connect the common of the headphones to the appropriate power rail. They float all three connections at half the DC supply rail, but have limited power capability.
The other method uses one stereo amplifier chip per speaker, driving in a bridge configuration. This requires a separate connection to each side of the speaker, and you cannot have a common connection for any speakers.
All of them have a problem where if the IC fails ( and yes, even with SOA, overtemp, overcurrent and overwhatever protection they can and do fail, often quite explosively) they often first fail and deliver the one supply rail to the output direct, and as typically only one side is monitored for current limiting ( often only the high side) and typically the high side will fail shorted first, then a very high DC current flows through the speaker until something either cooks itself into a short and blows the fuses or the power supply, or the speaker burns out.