What models of Accurate or Avet lefty retrieve reels make greater striper reels? I have a boat now and some nice conventional rods. I need lefty retrieve reels for them.

Don't overlook the Abu Record 61. Comes in high speed model too. I too am lefty and am looking at a Saltiga 30HL.

Just flip it upside down and your all set.
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I have six lefty avets, can't say enough about them. The MXL is my favorite conventional bass reel I have ever owned.....All machined aluminum, no stamped sheet metal, etc. Love the lever drag. Super easy to clean. I have a SX that i use bassin once in a while, but it just feels a little small although it has plenty of drag. I have a LX that i use ground fishing and jiggin for tuna. Landed a fish pushing 200lbs on it last year after a long battle......ended up buying a HX 2 speed for tuna this year.