You can use a FileFilter (or FilenameFilter) to select the appropriate
files in the File#listFiles method.
Here's an example that uses both a FileFilter to filter out directories
and a Comparator to order the files in descending modification date order:

import java.io.File;
import java.io.FileFilter;
import java.util.Arrays;
import java.util.Comparator;
import java.util.Date;

public class LastFile {

    public static void main(String[] args) {
        // FileFilter that accepts all files except directories
        FileFilter noDirectories = new FileFilter() {
            public boolean accept(File f) {
                return !f.isDirectory();
            }
        };

        // Comparator for modification date in descending order
        Comparator<File> descendingOnModificationDate =
                  new Comparator<File>() {
            public int compare(File f1, File f2) {
                long diff = f1.lastModified() - f2.lastModified();
                int returnValue;
                if (diff < 0L) {
                    returnValue = -1;
                } else if (diff > 0L) {
                    returnValue = +1;
                } else {
                    assert diff == 0L;
                    returnValue = 0;
                }
                return -returnValue; // +returnValue for ascending order
            }
        };

        // Directory to list (here: user's home directory)
        File directory = new File(System.getProperty("user.home", "."));

        // Obtain non-directory files in the directory
        File[] filesInDirectory = directory.listFiles(noDirectories);

        // Sort the list on modification date in descending order
        Arrays.sort(filesInDirectory, descendingOnModificationDate);

        // Print the result
        for (File file : filesInDirectory) {
            System.out.print(new Date(file.lastModified()));
            System.out.print('\t');
            System.out.print(file);
            System.out.println();
        }
    }
}