Riding from Beaumaris base

Many of my favourites have been mentioned here. I can add a few I hope.
Has Penmon been mentioned? The toll road to the lighthouse is free for bikes. The caff is sometimes open on summer weekends. The large letters on the lighthouse "NO PASSAGE TO LANDWARD" amuse, especially when the tide is out.
All the corners of Mon are worth a trip.
Newborough and Llanddwyn Island with its two toy lights and coastguard cottages.
South Stack, with hundreds of steps down to the bridge to the lighthouse island.
Carmel Head where a rough track takes you past two sea marks like giant white skittles.
Llynas Head, tarmac all the way to a light on a peninsular which does not flash, it occults.
Remembering all these rides makes me a bit sad, since I no longer live there, but mainly happy with memories of great days in the saddle.
Is the Queen's Head in Ty Croes still unchanged since before WWII? With no beer pumps, just taps on the barrels and faded flowery wall paper in the parlour?

Been interested following the posts. I am going to be in Pwllheli for a fortnight in August while my son is competing in sailing events and was thinking about routes. Doing something like the etape eryi route looks good.

OP said he wasn't too fit so might find Snowdonia a bit much.

Anglesey is fab and Neil's comment that it's crinkly is spot on. You don't have to go any further, there are loads of lovely roads to ride so save the mainland for next time.

The little lanes around Llanddona are hard work, I'd avoid going up there, though the relatively short ride to Penmon is flat and it's a gorgeous place to be on a sunny evening: https://www.flickr.com/photos/ruralwales/3739058510/
It's down a private road so there's a toll for cars.

I'd take the B-road to Pentraeth, head N along the A5025 to Brynrefail, over Bodafon Mountain (not as big as it sounds, but great views) and back via Llanerchymedd, Llangefni and either Pentraeth (B5109) or Penmynydd (B5420).

Another: head for Menai Bridge, join the A5. As you enter Llanfairpwll turn left onto the A4080 to go through Brynsiencyn to Rhosneigr, then return on the A5 (much quieter now the A55 dual is alongside). That's a favourite of mine, a flattish loop, though it's hard work if the wind is SW. For a shortened version turn R by the school after Malltraeth, go through Bethel and join the A5 at Rhostrehwfa (or go NE into Llangefni and one of the B-roads).

A couple more routes on Ynys Môn courtesy of Audax Bangor:
http://audaxbangor.weebly.com/

try and get in on the etape eryri bach, otherwise a loop starting from llanberis and around snowdon through weanfawr and bedgelert

I agree with neilb - head into Snowdonia and ride the same roads as tob stage last year , also etape eryri starts and finishes in Caernarfon 15th june 2014 - excellent day out

Beaumaris is a top place to start from for a ride on Anglesey. First up - Anglesey is like a crinkle cut crisp - flat if you parallel the Menai Strait, surprisingly hilly if you head in a north west / south east direction. Riding to Penmon point, then up and over to Llanddona, drop to Pentraeth, then on some of the backroads towards Llangefni is a good start, or head to Mynnyd Bodafon (look for it on a map) which is hard to find, but like a miniature alpine climb on that side of the island. Anglesey has some beautiful quiet backroads.

If you only have two rides, I would recommend going to snowdonia for the second day, doing a loop of snowdon, going up Llanberis pass, down Nant Gwynant to Beddgelert, then up to Waunfawr, over Caenant to Llanrug, and back to Llanberis.

This way you get both sides - the island, and it's backroads and hidden climbs, and a classic welsh mountains ride.

Feel free to get in touch if you want more information, I live between Anglesey and the mountains, so have a pretty reasonable knowledge of the area.