I have both a 45 lb longbow and a 51 lb recurve and I shoot 125 or 150 grain heads now.
When I started out almost 50 years ago your choice was heavy 2 blade or heavier 2 blade
So for years I shot 160 grain Zwicky Eskimo's (without bleeders) and they worked just fine - good blood trails. But as newer heads came on the market (and then the Graphite and finally Carbon arrows) of course you are convinced you "need them" of you will never kill another animal - plus I'm a broadhead junkie.
I currently shoot - 125 grain vented Tooth of the Arrow 4 blades (absolutely fly the best), 3 blade 125 grain vented VPA and 150 grain GrizzlyStik Silver Flames 2 blade, no bleeders, if anything isn't going to pass through it will be the VPA's (can remember two occasions with good broadside shots under 20 yards and they made it but the head was barely through the far side of the deer (but seriously, only two incidence is tough to call it a pattern or likely or whatever)
But as someone else has mentioned I build my arrows around the broadhead.
I'm big on "mathematical arrow builds" so look for specific dynamic spines and slug force and aim for those targets without really caring where the finished weight ends up but generally I shoot anywhere between about 475 to 535 grains total weight.
Personally I stay away from the 200 grain heads (although I have shot them) because I'm concerned about the wind catching them easier then the lighter heads (more profile) - which is also why I shoot vented everything. I don't know if there is any evidence of that happening but I just feel more comfortable shooting them.
On some arrow builds if I'm looking for more durable I go with the a heavier static spine arrow and add Ethics SS inserts - almost always end up shooting 125 grain heads if I go this way.