Cannot find a differ supporting object '[object Object]' of type 'object'. NgFor only supports binding to Iterables such as Arrays

There you don't need to use this.requests= when you are making get call(then requests will have observable subscription). You will get a response in observable success so setting requests value in success make sense(which you are already doing).

this._http.getRequest().subscribe(res=>this.requests=res);

Remove this.requests from

ngOnInit(){
  this.requests=this._http.getRequest().subscribe(res=>this.requests=res);
}

to

ngOnInit(){
  this._http.getRequest().subscribe(res=>this.requests=res);
}

this._http.getRequest() returns a subscription, not the response value. The response value is assigned by the callback passed to subscribe(...)

You can declare the books (on line 2) as an array:

title: any = 'List of books are represted in the bookstore';
books: any = []; 
constructor(private service:  AppService){
}

ngOnInit(){
  this.getBookDetails();
}

getBookDetails() {
    this.service.getBooks().subscribe(books => {
        this.books = books.json();
        console.log(this.books);
    });
}