Okay first I'd like to say, thank God for cartoon Network, and adult swim. As well as toonami. Because honestly if it wasn't for them anime wouldn't be as popular as it is today. I know I probably wouldn't have watched it. Now I can't tell you the first anime I've watched. Because my memory is...
Okay may I say one thing, most of the anime you describe in your post are harem. So idk if guy going to another world and having a bunch of females fall in love with him is so much a trope as it is the plot for a harem. If you got rid of that then you'd have far less possibility for harem anime...