Keen-eyed viewers pointed out that during the destruction of the Hosnian system, you can see the ships of the much-talked-about Republic fleet being destroyed. Below is a picture from Wookieepedia:
AFAIK, there has been no canonical confirmation as to what ships made up this fleet, however, considering
Before The Awakening has Home One and MC80s as part of the Resistance fleet, which is made up of donations from the Republic, we can presume the MC80 lived through long service in the New Republic. Sure enough, the group of ships that are illuminated near the bottom left look Mon-Cal to me. To the far upper-left of the shot are what look like GR-75 transports. So the case seems to be that the Republic's fleet is made up of civil-war era ships with the only new technology produced being the X-Wing's successors, the T-70 as used by the Resistance, and
Before The Awakening also has the Republic using a newer model than that, the T-85 (also from Wookieepedia):
Hopefully we will see more Republic forces in Episode VIII - unless they're going to write that the fleet destroyed at Hosnian Prime was
the Republic Fleet. Until then,
New Republic: Bloodline is coming out on May 3rd and is set 6 years before TFA, so we'll probably find out more about the New Republic's forces of the era in that.