Old gen kpop

Honey by Kara and really anything by Girls Generation. To give a specific example I'll say Boyfriend. I love that song so much (*♡∀♡)

i really like miss a, aoa, girls generation

i love infinite (nothing's over, cover girl, be mine, the chaser)!!! also boyfriend, mblaq, maybe b2st?

based off of the songs you put, maybe you'd like "rising sun" from dbsk? songs from click-b and h.o.t may interest you as well, since they have more of a rock sound. 

rising sun and o jung ban hap are songs by dbsk i love and you should also love haha

s.e.s, fin.k.l and baby v.o.x are good starting points for the mid-late first gen of kpop! they had big fan bases for their time, and all three have an amazing discography! If you're more into boy groups instead, skechskies, united ngeneration, click-b. and h.o.t are good choices, but theres lots of other 1st gen groups and soloists aswell!

2nd gen groups are very easy to come by, theres shinee, girls generation, kara, f(x) (amazing group btw), tvxq! and a bunch more, i'd personally reccoment starting with the 1st gen ^^