Any recommendations which navy to play?
They all play differently, so it is up to your personal tastes and historical interests:
DD
IJN DD rely mostly on stealthy torpedo attacks, but they have inferior gun-characteristics to Soviet or USN DDs.
Minekaze at tier V and
Fubuki at tier VIII are both major highlights.
USN DDs have okay torpedoes and good guns.
Benson at tier VIII and
Fletcher at tier IX are major highlights.
Soviet DDs have really good guns and crap torpedoes.
Kiev at tier VII and whatever the tier X is are major highlights.
Cruisers
IJN light cruisers (tiers III-IV) are pretty standard fair. Their heavy cruisers from tier V+ are really solid surface combatants with great torpedoes, lots of great 8" guns and generally poor-to-okay AA.
Myoko at tier VII and
Zao at tier X are major highlights. The latter is OP to be honest due to its insane HE performance and stealth fire capabilities.
USN light cruisers have much better AP than the Japanese (6" vs 5.5" guns). Their heavy cruisers aren't as good in direct surface combat compared to other nations, but they have good AA and better armour generally speaking.
St. Louis at tier III,
Cleveland at tier VI and
Des Moines at tier X are major highlights.
Soviet cruisers have crazy high velocities and typically long ranges for their tier. They also have good-to-great AA. Their maneuverability sucks: large turning circles and slow rudder shifts. That means they can take a lot of citadel hits if the person using the ship isn't paying attention. In the effort of avoiding the spelling of Soviet ships, I will just mention tiers: III, V, VI and VIII are all solid.
German cruisers have good velocities and god-tier AP as a general rule. Their HE isn't all that great though. Tier V, VIII and IX are all major highlights.
BB
IJN BB/CCs are typically faster, but have weaker armour. They have long ranges, poor concealment and good accuracy. Tier V, VI, VII, VIII and X are major highlights. It is a really strong line.
USN BBs are typically slower, but have better armour and AA. Their ranges and accuracy leave much to be desired for the most part. Tier IV, VI, VII, VIII and IX are major highlights. Tier VIII-X USN BBs are getting buffed in a patch coming very soon.
CVs
Gameplay and balance with them is kind of a mess at the moment. I would avoid them for the time being to be honest.