Zooomr is a Flickr clone, but with unlimited uploads and with OpenID support. You can upload as much as you want (unlike at Flickr where your older photos are hidden after 200 uploads). Unfortunately, Zooomr feels slower than Flickr.
Both Zooomr and Flickr are awkward if you want to share photos semi-privately (just between the friends/family). Also, they don't support albums (tags and sets is not the same thing).
Picasaweb's 1G is OK to just show your photos on the web. Picasaweb is much more convinient for private photo sharing than Flickr or its clones, just send a secret link to anyone you want to share an album with. Unfortunately, extra disk space is overpriced and Picasaweb compresses JPEGs just too much (visible artifacts), and, unfortunately, Google wants you to use their Picasa program for upload. Tagging and social features at Picasaweb suck. But in general it's not a bad (free) choice if you agree to downscale your images and don't mind JPEG artifacts.
Panoramio is another image hosting by Google. It is mostly oriented towards geotagging, but it offers up to 2G of storage the last time I checked. They don't provide an automatic bulk uploader.
If you are comfortable with an interface in Russian, check http://fotki.yandex.ru/. Sort of Flickr clone. Unlimited storage, crossplatform uploader (Firefox extension), geotags, private albums.
A minimalistic image hosting like Picamatic may be useful too. There's lots of them. They usually offer a Flash-based bulk uploader.
Disclaimer: the only image hosting I pay for is Flickr.