Was the Roman navy ever involved in any major wars outside of the Punic Wars? If so how did it perform, was it as formidable as their land counterpart?

As a few examples?

In the 5th Century the Emperor Majorian sent a force of 300 ships to engage the Vandals. It didnt go overly well.

Mense Maio Majorianus Hispanias ingreditur imperator: quo pertendente, aliquantas naves quas sibi ad transitum adversum Wandalos praeparabat, de littore Carthaginiensi commoniti Wandali per proditores abripiunt. Majorianus ita sua ordinatione frustratus ad Italiam revertitur.

There was also the invasion of North Africa by Belisarius which involved 92 warships and 500 transport and Basilicus's failed invasion attempt involving 1113 ships