Well, since my computer and browser aren't playing nice, I'm going to truncate my reply. First, welcome to the hobby and boards. Surprised to see you list Liga 9 among your favorites. It's a good smoke, albeith one that has gotten very expensive. I'm partial to the T52 line, a really rich cigar. However, neither are anywhere near what I'd call mild to medium.
But this post is yours, so I'm going to offer up some of the milder cigars I enjoy on occasion. I prefer stronger fare, but a good, mild cigar is a nice break from time to time, and there are a number of them I enjoy. In no particular order: Perdomo Lot 23, Nub connie (I prefer the smaller version, especially early in the day), RP Vintage 2003 and RP Decade Cameroon, Perdomo Champagne (and Noir), and the 5 Vegas Gold is a decent smoke (albeit without a lot of flavor) that is usually dirt cheap around here. I think the My Father La Antiguidad is pretty mellow for my tastes, and it has serious credentials. Oliva's connie reserve might be the best one on the market, IMHO. It's one I recommend to all who are starting and/or prefer a good, mild-med smoke. I'm also partial to one of my first premium smokes, the Graycliff Red (although the MSRP is IN-SANE, they can usually be found around here at a reasonable price...just use a punch, as Graycliff cigars tend to be rather loosely-rolled). Victor Sinclair Primeros were one of my favorite shorter smokes when the made a chisel-shape called Aero, but I haven't seen them for sale in years, and my stash of them is gone. You might try a single of another vitola in the line. Macanudo Gold is quite mild and it's been a long time since I've smoked one, but as I recall, it has a pleasant lemony hint to it.
A bit stronger, but still nice and smooth and usually available at a decent price, I enjoy Nick's Sticks Meduro for a budget smoke, as well as one of the original Gurkhas (haven't purchased one in many years, so I can't vouch for quality now) Signature 101 maduro (not sure those are being made any more). The Gurkha Regent with the cameroon wrapper was pretty damned good when I last bought it years ago. CAO Black has a connie wrapper, IIRC, but the innards bump up the strength to a medium....a flavorful smoke, to be sure. Cu-Avana Maduro were always a smooth smoke for me, but the key is to let them nap. No cigar I ever had or smoked plumed like those, and they are really inexpensive, plus rank maybe mild-med at most. With the plume, it's almost like a very fine confectioner sugar taste on the lips. Not a wine-pairing smoke, probably better with coffee or an iced tea. RP Edge connie (formerly Edge Lite) are pretty decent. Bohemian Bamboo is a good choice if you like a cigar without any body or taste whatsoever.
If you haven't tried a candela, I recommend smoking at least one or two. LFD, RP, Illusione and Graycliff all make candies I like, although many of those are more of the medium to medium plus range. You may not like the grassy tastes, or you may enjoy the offset the wrapper gives a bolder filler. For those who enjoy them, they provide a nice break from the usual fare.
I'm not a huge fan of flavored or infused smokes, but a couple DE smokes are pretty good if you're in the mood for something sweet. CAO Eileen's Dream is super sweet, but tasty. DE's CI Legend has a nice amaretto flavor, although quite sweet to my palate. Acid Blondie and Liquid aren't bad, but the English Hops Natural (oops, Larutan?) taste like they are dipped in Sweet N Low, to my tastes. Ugh.
Hope that gives you a few more options. Nice to have a lady around here (especially one that isn't an employee that is scolding one of us knuckle-draggers about our behavior.) :)P~~~~~~~~~~~~