Depends on your faction and faction that you will fight against, with NR being the most obvious exception, going against far better capital ships, with stronger shields, more efficient firing arcs, better balanced weapon loadouts and on average better fighter support would be nothing but a major defeat for ISD II fleet. If you really want to push for 60 points only, then something like couple of ISDs ( again, whether you take I or II model depends on your opponent ), one bigger 9 pointer like Secutor/Allegiance for extra bulk, a handful of VSDs ( again depends on possible enemy ) for general duty/backline firepower and some anti-fighter to protect your bigger ships from bombers, and you get something like this:
Heavy capital: 9
ISDs: 18
VSDs: 28
Antifighter corvettes: 5
Total: 60
But to be honest pushing for a bigger 90-120 fleet would give you more space for flexibility.

Originally posted by Douk Nouk Kem:

If you really want to push for 60 points only,
Heavy capital: 9
ISDs: 18
VSDs: 28
Antifighter corvettes: 5
Total: 60
But to be honest pushing for a bigger 90-120 fleet would give you more space for flexibility.

The intention is to make multiple fleets, The main few, with the Eclipse, or ssd or sovereign as the flagship, And lighter but still decent fleets used mostly for defence/general purpose (not every fleet can have an SSD after all) but also when you don't have access to the flagships, like when they're in another castle fleet

It's not really that necessary to have an SSD as the head of your main assault fleets, good commander ( or really anything better than tier V ) with a bit of extra force for backup can do the same, with flexible deployment too. Greater Maldrood or early era Pentastar are the best set of all imperial based factions when it comes to quality leadership.

Originally posted by Douk Nouk Kem:

It's not really that necessary to have an SSD as the head of your main assault fleets... Greater Maldrood or early era Pentastar

Having an SSD isn't necessary? I think Tarkin has something to say about that (Oh? He died in a massive superweapon spouting how great it was and the virtues of massive ships? And it was destroyed by a single fighter?) ... ... I think you might have a point there (but its fun having an ssd flagship) ... New plan, Lots of fighters! both Death stars and the first ever SSD was destroyed by a single small ship, So having a metric ton of fighters must be superior to anything... Now to figure out how to make a fighter based fleet without carriers or hyperdrives... What a coincidence, GM and Penta are my favorite factions (besides era 3 empire, Who doesn't love Era 3 Empire?)

Eriadu can do a real funny by buying Acclamators + those ships that carry TIE-Hunters, unfortunately there won't be enough bombers, but the mosquito fleet of interceptors will bloat out the screen and melt your PC's core.

Originally posted by Douk Nouk Kem:

Eriadu can do a real funny by buying Acclamators + those ships that carry TIE-Hunters, unfortunately there won't be enough bombers, but the mosquito fleet of interceptors with bloat out the screen and melt your PC's core.

Aye, the Escort Carrier is point for point of the best ships, I've had an entire fleet of EC's and did nothing but send in the Hunters, they took down 2 golan 3's and a capital shipyard, *Looks at my $5k computer (the Omen X 900 if curious) I think i need to be more worried about my computer causing the singularity than having a swarm of tiny starfighters melting my PC*

Always remeber whenever u start up the Mod out a Scout ship back into the little Front Box, like a Carrack, Lancer or even a set of Fighters. Nvr your Best Ship. Then Thrawn Pincer in what you need to get the job done, a Good Fleet is a Semi Mixed Fleet.
5 ISD I or II
4-5 Victory II's or Crimson Command
5+ Carrack, Lancers or Munificents
3 Fleet Carriers (the ones that look like Dust Busters) (I prefer 1-2 Lucrehulks)
5 Anti Starfighter Ships
Whatever else u think you need
Scout Scout and Scout again! Make sure you've got a Land Army ready to come in after the battle if your taking the Planet. Nvr bring them with your fleet

Dok Nouk Kem brought up a really overlooked feature with the ship firing arcs. This is really really important because even though you have hundreds of turbo lasers on your ISD's they're not actually going to be firing at the same time at the same target/ targets. In fact thanks to the terrible pathing of the base game your ISD's are probably going to turn around and not actually shoot at the enemy.

Acclamators are probably overpowered right now because they have the longest range with their quad turbo lasers and come equipped with lots of fighters making them excellent back line ships. Strike cruisers also have a long range so they are also good for support.

VSD's do lots of damage and can stack on top of your ISD's to maximize the amount of lasers firing at a single point.

Point defense is really important vs bombers, and bombers are important in helping to reduce enemy shields.

Keeping all this in mind, my ideal fleet would be:

4-5 acclamators for long range fire/ carrier role
3-4 ISD's to soak/ deal damage OR 2 ISD's and one battlecruiser i.e. Allegiance
8+ Lancers to deal with fighters, adjust based on enemy fighter count
4-5 VSD's for additional damage
3-4 carracks to deal with shields faster

This fleet is optimized for dealing damage from the cruisers. As long as you position your fleet such that most of its turbo lasers can clear targets you'll be fine. New Republic fleets are generally more optimized for having capitol ships soak damage while fighters work down shields.