The New Republic

Reformation (47 ABY)
After the Great Sith Purge in 46 ABY elminated any obvious threat to the Galaxy, the Galatic Alliance reformed back into a government that reflected the peace times, resulting in the Galactic Alliance transitioning into The Newer Republic for a United Galaxy, although it is now referred to as just The New Republic

The official police force of the New Republic became the Galactic Guardsmen and are found commonly on Republic Core Worlds but still have presence in some reaches of the galaxy

Mandalorian Civil Wars (46-75 ABY)
While The Republic did not outright chose a side in the first civil war, numerous core world businesses provided firepower for both sides while a Republic Blockade formed on the edge of Mandalorian Space to ensure either side winning could not attempt to launch a assault on The Republic.

Decades later when the second civil war did occur, the New Republic did not partake nor bother to form a blockade as the small scale war was half as destructive as the first civil war and so was generally unnoticed by the galactic government.

Slavers War (85 ABY)
After Slaver Owan Dask had the official New Republic representive on Ryloth assasinated and assembled a massive army of slaves and mercs, loyal to him through pay or by sheer obedience and began a campaign to take control of Ryloth.

In response Allana Solo asked for several Jedi to accompy a small Battalion of Galactic Guardsmen to Ryloth where they successfully dealt with the threat after a six-month campaign that resulted in the dissolution of the Slavers Armies

New Republic Navy
New Republic First Fleet

New Republic Second Fleet

New Republic Third Fleet

New Republic Fourth Fleet

New Republic Fifth Fleet