There are many common programs that I never use with their standard default options (which are very bad, IMO), e.g. cp, mv, ln, rm, rsync, date and many others, so I always define aliases for them, which include those options that I want to use by default.

So for grep, the recursive search should be included in the grep alias. There is no need for a new program in order to have this feature.

I don't buy into this. These aliases tend to come at the cost, or at least the risk, that your workflow breaks when you are at another computer or working on a shell on some server that doesn't have this alias. That's why I like additional aliases, like l for ls, but with your favorite options. But I dislike aliases that change default behavior - and often in an intransparent way.