Intel (company): Simple Projects that can be run on 8086 emulator to help me in learning assembly language?

If you want to have some fun, try writing a program that runs John Horton Conway's game "Life", described here:https://en.wikipedia.org/wiki/Conway%27s_Game_of_Life The rules are incredibly simple, so it will not tax your coding abilities to write the routine that updates the state of a Life grid in assembly language. This was the first project I undertook in 8086 assembler, many years ago, and I learned a lot about the 8086 at the machine instruction level as well as gained an appreciation for what the processor could do compared to other processors of that era.Besides updating and displaying the grid field, you will want to create a simple editor for creating and saving patterns to use as starting points.I know of very few programs you can write that have as high a ratio of entertainment value to coding effort. Try it! 

If you are just starting consider developing: A routine which computes the sum of an array of size N Convert the routine into a function which takes the Pointer to the array and the size N in regs . Should work for any size N If you are intermediate level then develop : A recursive routine for generating Fibonacci number N. Take care so as not to overflow stack for large N. Develop a simple linked list data object with insertion , deletion and search routines If you are advanced level then you can venture into BIOS calls and graphics : Load a file into a DS , convert into a CS and execute it as CODE . The file will be a binary file which is pre-converted from ASM. Draw a Circle using BIOS routines