I’m looking for a Digital Elevation Models for Relief (topographic + bathymetric) with different resolution of the gridded data varies from true 30-Arc sec and 1-Arc sec
Try GEBCO 2014 grid. It's a global grid of ocean depth and land height compiled from different sources in 30 arc seconds. It's up to date and well documented.
One of the best sites for DEMS, especially if you are looking for contours in counties where contour data is restricted is ASTER GDEM gdem.ersdac.jspacesystems.or.jp/
ASTER GDEM have other websites e.g. https://asterweb.jpl.nasa.gov/gdem.asp
For topography and bathymetry, the Global Multi-Resolution Topography Data Synthesis (http://www.marine-geo.org/portals/gmrt/) is a great resource not yet listed. Data are accessible via web services (http://www.marine-geo.org/tools/web_services.php#gmrt) or web portal (http://www.marine-geo.org/tools/maps_grids.php)
OpenTopography provides access to SRTM GL3 (90m) and the new global GL1 (30m) dataset via web portal (http://opentopo.sdsc.edu/gridsphere/gridsphere?cid=geonlidar&platform=Satellite%20Data&format=sd) and web service (http://www.opentopography.org/index.php/Tools/developers)
I am not sure about Bathymetry, but Earthexplorer is a quick and easy way to get free 1x1 degree tiles of 1-arc second void filled SRTM DSM in Arc BIL ogrid of GeoTiff format.
http://earthexplorer.usgs.gov/
Next 10 offers processed DTMs for purchase (vegetation and buildings removed) with enhanced vertical resolution over the free products.