How to Display Sharepoint List item by selecting id of list item using list web services?

You can use below code.

Change the ID in CAML query according to your needs. I am using get me item whose ID=1

public void getListData()
        {
            WS_Lists.Lists myservice = new WS_Lists.Lists();
            myservice.Credentials = System.Net.CredentialCache.DefaultCredentials;
            myservice.Url = "http://site/_vti_bin/Lists.asmx";
            try
            {
                /* Assign values to pass the GetListItems method*/
                string listName = "ListName";
                string viewName = "ViewName";
                string rowLimit = "1";

                // Instantiate an XmlDocument object
                System.Xml.XmlDocument xmlDoc = new System.Xml.XmlDocument();
                System.Xml.XmlElement query = xmlDoc.CreateElement("Query");
                System.Xml.XmlElement viewFields = xmlDoc.CreateElement("ViewFields");
                System.Xml.XmlElement queryOptions = xmlDoc.CreateElement("QueryOptions");

                /*Use CAML query*/
                query.InnerXml = "<Where><eq><FieldRef Name=\"ID\" />" +
                "<Value Type=\"Counter\">1</Value></eq></Where>";
                viewFields.InnerXml = "<FieldRef Name=\"Title\" />";
                queryOptions.InnerXml = "";

                System.Xml.XmlNode nodes = myservice.GetListItems(listName, viewName, query, viewFields, rowLimit, null, null);

                foreach (System.Xml.XmlNode node in nodes)
                {
                    if (node.Name == "rs:data")
                    {
                        for (int i = 0; i < node.ChildNodes.Count; i++)
                        {
                            if (node.ChildNodes[i].Name == "z:row")
                            {
                                Response.Write(node.ChildNodes[i].Attributes["ows_Title"].Value + "</br>");
                            }
                        }
                    }
                }
            }
            catch (Exception ex)
            {
                Response.Write(ex.Message);
            }
        }