Touch is a manga by Mitsuru Adachi. Highschool romantic comedy/drama with a baseball background (going to Koshien for the sake of my dead brother and the girl he was in love with, but who loved me instead yadda, yadda, yadda)
It's old school (mid 80s) and Adachi is/was a specialist of that kind of stories: romance mixed in with sports.
So, I guess "Touch without baseball" would just be a romcom? Very sweet and innocent, with a bit of drama.