It's so difficult to choose just 3 anime! I think I'll go with some older favorites that you may or may not have heard of. Thank you for this challenge, @hikaymm!
Utawarerumono (2005-06, 26 episodes) An amnesiac is nursed back to health by a young girl, Erurū. This strange masked man has a a far greater mystery surrounding his past than he or the people of Erurū's village could ever imagine. In collecting images for this anime, I discovered a new series is in progress for this title. I cannot tell you how much I fangirled! The original series is available for viewing on YouTube.
3x3 Eyes (Sazan Aizu, 1991-92/1995-96, 7 Episodes) A boy named Yakumo gets more than he bargained for when he tackles a purse snatcher. The girl he helped is more than she appears, and he suddenly finds himself neck deep in supernatural chaos. This is one of the first anime that I watched, knowing that it was an anime. It's old, but I don't think it's lost its charm over the years.
Desert Punk (Sunabōzu, 2004-05, 24 episodes) Crazy, boob-obsessed merc, Kanta Mizuno, has never failed a mission. His tactics are unique and...well, kinda out there...but always successful. I totally used this anime to get my husband hooked on anime!
If you decide to check them out, I hope you enjoy them as much as I have! Would you like to participate in the 3 Anime Giveaway Challenge? @shannonl5 @danidee @ButterflyBlu @LAVONYORK @ChosenKnight and anyone else who'd like to! If you do, be sure to tag @hikaymm...and me because I'd love to see your cards! ☆☆BTW, the last media for each of these 3 anime are the first episodes!!!☆☆