Question

Which animal has both plant and animal like feature

Answer 1

euglena I guess ..!!!

Answer 2

I think this question is a difficult one because we tend to think of plants and animals as two distinct categories with obvious, essential characteristics but, as in your question, we might not define what those characteristics are, which makes it hard to know what would meet your criteria. There are certainly a lot of living things that are neither, and a lot of very immobile lower animals (sponges, sea urchins).

Fungi may seem plant-like, but they are heterotrophs like us (they gain their nutrition from other living things). Oddly, their multicellular fruiting bodies are haploid, just like animal sperm and ova and plant pollen. Their unicellular spores are diploid, just like the "fertilised", multicellular forms of animal and plant species. 
Lichen are odd in that they are actually composed of symbiotic species from entirely different kingdoms. This sort of symbiosis has arisen at least three times.

But if you really want to find things that challenge your definitions, look up kingdom Protista, which looks like taxonomy's too-hard basket.  There you will find blue-green algæ, euglena, amœbæ, slime moulds and so many other bizarre, overlooked life forms.

Pink slime mould (Dictostelium discoideum)has four different stages in its life cycle, each more bizarre than the last. Well worth the time spent if you look it up :)

Since I wrote the above answer, the question details were edited to exclude some of my answers and specify that the question was about organisms that are immobile, photosynthesise and have both eyespots and cell walls containing cellulose.

I don't know of any organism that meets all these conditions and think it's fairly safe to bet that there is no such organism. This is because a sense is useless if there is no ability to act upon it. Euglena and Blue-Green Algae are advantaged by eyespots because they can swim towards or away from light sources. If they lost their flagella they would soon lose their eyespots.

It should be noted that plants have some "sense" of light because they grow towards it, but they have no need of specialised light receptor organs because there is nothing they could do with the input.

HOPE IT HELPS PLEASE MARK AS THE BRAINLIEST ;)