How do I Create 8 Direction Enemy Movement Like Battletoads?

Whatsup peeps, I was wondering if I could get a hand on my enemy movement creations.ive been up for days trying to figure out how to make flawless enemy movements that track your players X and Y cords.

I understand how to make my enemies move about,but I can never get them to work correctly.

Im basically trying to make my enemies suround my character from front to back on the y axis.I dont want my enemies to always approach my character from the same side.Is it possible to make like 3 to 4 enemies perform like this?If so could someone with the skill necessary to achieve this goal give me a hand.it would be very appreciated.Thanks guys

Can someone give me a hand please.Im sorry for double posting,I just dont have unlimited time to actually get help and be online.

I would also like to know alittle bit about this aswell.

Im looking for something similar but if i can get help along with you Guy,It would make my project that much better.

Im trying to find out how make my enemys always mimic the players Y cords so once i spawn my enemy from the left or right side of the screen,The player cant go around them at all.

I might make a seperate post but i seen this and just figured two questions with one post.It seems to fit here.

But thanks guys.

hope to get help soon

EDIT: I actually just figured out how to make my character always keep the same Y axis as my enemy.

But what im looking for is Once my player moves up or down i want the enemy to react to the change but im not looking for every tick,i want the enemy to change position maybe a half second later than my player if that makes sense.I know how to make my enemy change position but it jumps,Im looking for a smooth transition

Im just trying to make my player feel like the enemy is boxing you in,

Thats pretty much what im after aswell.I hope to get help soon.I have to go back home soon.