And don't forget subsea landslides - anything that displaces a large volume of water within a very short time frame.
A landslide big enough to create a tsunami would easily register on the world's earthquake monitoring network...hence it would initially be considered an earthquake.
Since the 2004 tsunami, tsunami warnings have become much more prevelant. All of them have luckily been false warnings or the tsunami was only a few inches
high.
Edit: I just came across these reports:
GAUGE LOCATION LAT LON TIME AMPL PER
------------------- ----- ------ ----- ------ -----
WAKE US 19.3N 166.6E 0837Z 0.09M 10MIN
MIDWAY 28.2N 177.4W 0911Z 0.18M 10MIN
HILO HAWAII 19.7N 155.1W 1148Z 0.12M 14MIN
KAHULUI MAUI 20.9N 156.5W 1126Z 0.14M 16MIN
NAWILIWILI KAUAI 22.0N 159.4W 1208Z 0.09M 10MIN
ADAK AK 51.9N 176.6W 0831Z 0.04M 18MIN
DART NW PAC 21414 48.9N 178.3E 0735Z 0.03M 08MIN
SHEMYA AK 52.7N 174.1E 0712Z 0.32M 06MIN
HANASAKI HOKKAIDO 43.3N 145.6E 0605Z 0.10M 28MIN
Looks like the biggest rise was around a foot. I'm guessing near the earthquake center rises would have been much greater, but this
a very remote region in the world.