PowerDVD 15 Ultra
Expensive, though if you register a trial you **might** get an e-mail offer with a sale price. [The trial is now limited in what it can do, or it might have been a good choice lasting as long as your vacation.] You can also find it on sale on-line, but those sales are pretty sporadic [at least in the US], & may be for the older version -- since updates to new Blu-Ray DRM schemes are only provided for so long after PowerDVD is no longer current, older versions are not a great value.
Simply does what it's supposed to on retail Blu-Ray & DVD discs, or most discs copied to hard drive or other storage. Viewer experience is the same, sometimes better than using a stand-alone Blu-Ray player, plus you get Android & iOS apps for your tablets/cells. Also may well have the best audio down-sampling for the multi-channel DTS often found on Blu-Ray. There's a reason that PowerDVD Ultra is popular if you check the forums for the PC-based home theater enthusiasts.
Nero Platinum includes a Blu-Ray player based on PowerDVD -- I've seen it on sale as low as $25 in the US. It works.
Note: In the thread on upgrading hardware I mentioned a huge sale on Amazon on 7/15 [the UK store included]. If that's not too late for you, there's a decent chance either PowerDVD Ultra &/or Nero Platinum will show up on sale, as Amazon has sold both before cheap.
I *very* occasionally use Aiseesoft, Aurora, DVDFab, & Leawo Blu-Ray players, which are all based on the open source XBMC [xbmc.org]. Of the 4, Leawo is always free -- the others have been giveaways. All understand Blu-Ray playlists -- Blu-Ray can use playlists specifying the order of .m2ts video files making up the movie. None understand the menus & special features using Java. All can be glitchy. All depend on contacting developer servers for info on how to handle DRM -- note that that info may not always be accurate.
Fengtao [DVDFab] has a payware app called Passkey with a 30 day trial, after which it transforms into the Lite version that will not work with all discs. SlySoft has their AnyDVD HD -- also payware. With either app running, they handle the DRM on any DVD or Blu-Ray disc, so all Windows & software players see is a disc with no DRM whatsoever. This allows for the use of players with no DRM capabilities, e.g. XBMC.
For video nerds/enthusiasts MPC-HC & optionally madvr may provide the best playback experience, but work better if fed a single video file -- remember Blu-Ray may make use of a dozen [more-or-less] files. Apps like MakeMKV [payware for Blu-Ray, though 30 day trial] can copy those multiple files to a single MKV file without re-encoding anything. There are several alternative apps that do the same thing basically, but not always as well. You can also perform a two-step using free software, using something like the ancient BluRip [there are many alternatives] to get the individual video, audio, sub files, & chapter data [times], then using another app to put those together into a single file -- multiAVCHD for example will create a simple Blu-Ray disc layout that can be burned to disc or played from hard drive.
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VLC -- Very poor choice overall for Blu-Ray, IMHO anyway.
Media Player Classic -- go to MPC-HC instead. Mind the documentation, as adding DS filters to the playback PC/laptop can make a big difference. Also bear in mind that it works best with a single file, not a Blu-Ray playlist.
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RE: your impressive collection...
http://www.meritline.com/cd-dvd-510-holder-wallet-holders-black---p-39027.aspx
http://www.meritline.com/900-aluminum-like-diamond-black-hard-cd-case---p-47943.aspx
I've bought these sorts of cases from Meritline & SuperMediaStore.com [maybe cheaper]. They take up quite a bit less space, if that matters, make it easy to take your collection with you, & most importantly, make sorting alphabetically easy -- buy a new disc & I can put it immediately in it's proper place, without having to shift however many shelves worth of discs.