I would look for at least an RX480 and up
Tbh it depend if you are planing to upgrade also the whole rig, i mean cpu/mb.
It depend which your budget is, how much you can spend for a new gpu?
It depend which screen and resolution you are actually using/playing.
It depend which power supply is actually running the rig.
If you plan to upgrade the rig for even a cheap ryzen cpu/mb combo, a RX480/470/580/570 are welcomed.
If you are not planing to upgrade soon and want to keep up with this rig, be aware that the card cited above will no be used to their full potential.
Since your rig is fairly old to allow them to run at their peak performances, especially at 1080p and lower.
If you are not upgrading soon and have a tight budget, then go for a RX460/560. It will be anyway a huge boost compared to your actual HD6700.
If you are looking for a decent second hand card, everything as a HD7970, R9 270X/280X, R9 370X/380X, are fine too.
You can also look for a a more powerful R9 290/390 series but be aware these required a decent power supply and tend now to output heat quite a bit, especially if you do not plan to service them with new fresh thermal paste.
With this board combo you may not use the RX480 to it's max but this video card will use about the best of the motherboard and cpu combo. Here is a pic of
my M5A99FX PRO with this card, works great Gaming or work stuff. It started in a M5A97. The other mentioned cards will also work, I just named that card because I have experience with that combination.
Also this card will also work for some future upgrades to motherboard and cpu.
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My opinion is that you can equip a graphic card from RX series or RX 560 2gb 1024 for example but careful with the outputs (hdmi,dvi-d,displayport) for your monitor i think it has vga.
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RX460 or RX560 - both 2G or 4G (2G is enough if you reduce details)
if its RX460 - find a card that can unlock all cores